Wu, Yixuan; Zhang, Yanzhi Variable-order fractional Laplacian and its accurate and efficient computations with meshfree methods. (English) Zbl 07818683 J. Sci. Comput. 99, No. 1, Paper No. 18, 26 p. (2024). MSC: 65M70 65M06 65N35 65D12 65R20 41A05 35R11 PDFBibTeX XMLCite \textit{Y. Wu} and \textit{Y. Zhang}, J. Sci. Comput. 99, No. 1, Paper No. 18, 26 p. (2024; Zbl 07818683) Full Text: DOI arXiv
Akgün, Ramazan A modulus of smoothness for some Banach function spaces. (English) Zbl 07786481 Ukr. Math. J. 75, No. 8, 1159-1177 (2024) and Ukr. Mat. Zh. 75, No. 8, 1015-1031 (2023). MSC: 41Axx 46Exx 42Axx PDFBibTeX XMLCite \textit{R. Akgün}, Ukr. Math. J. 75, No. 8, 1159--1177 (2024; Zbl 07786481) Full Text: DOI
Jafarov, Sadulla Z. On approximation properties of functions by means of Fourier and Faber series in weighted Lebesgue spaces with variable exponent. (English) Zbl 07804651 Math. Morav. 27, No. 1, 97-112 (2023). MSC: 30E10 41A10 41A17 41A20 41A50 42A10 PDFBibTeX XMLCite \textit{S. Z. Jafarov}, Math. Morav. 27, No. 1, 97--112 (2023; Zbl 07804651) Full Text: DOI
Costarelli, Danilo; Natale, Mariarosaria; Vinti, Gianluca Convergence results for nonlinear sampling Kantorovich operators in modular spaces. (English) Zbl 07739379 Numer. Funct. Anal. Optim. 44, No. 12, 1276-1299 (2023). Reviewer: Sorin Gheorghe Gal (Oradea) MSC: 41A35 46E30 47A58 47B38 94A12 PDFBibTeX XMLCite \textit{D. Costarelli} et al., Numer. Funct. Anal. Optim. 44, No. 12, 1276--1299 (2023; Zbl 07739379) Full Text: DOI
Akgün, R. Exponential approximation of functions in Lebesgue spaces with Muckenhoupt weight. (English) Zbl 07724922 Probl. Anal. Issues Anal. 12(30), No. 1, 3-24 (2023). MSC: 41A10 41A25 41A27 41A65 41A81 PDFBibTeX XMLCite \textit{R. Akgün}, Probl. Anal. Issues Anal. 12(30), No. 1, 3--24 (2023; Zbl 07724922) Full Text: DOI arXiv MNR
Drihem, D. Spline representations of Lizorkin-Triebel spaces with general weights. (English) Zbl 1518.46022 Sib. Math. J. 64, No. 1, 208-250 (2023). MSC: 46E35 42B35 41A15 PDFBibTeX XMLCite \textit{D. Drihem}, Sib. Math. J. 64, No. 1, 208--250 (2023; Zbl 1518.46022) Full Text: DOI
Volosivets, S. S. Realization functionals and description of a modulus of smoothness in variable exponent Lebesgue spaces. (English. Russian original) Zbl 1528.42031 Russ. Math. 66, No. 6, 8-19 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 6, 13-25 (2022). MSC: 42B35 41A17 46E30 42A10 41A25 PDFBibTeX XMLCite \textit{S. S. Volosivets}, Russ. Math. 66, No. 6, 8--19 (2022; Zbl 1528.42031); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 6, 13--25 (2022) Full Text: DOI
Akgün, Ramazan Exponential approximation in variable exponent Lebesgue spaces on the real line. (English) Zbl 1513.41005 Constr. Math. Anal. 5, No. 4, 214-237 (2022). MSC: 41A17 41A25 46E30 PDFBibTeX XMLCite \textit{R. Akgün}, Constr. Math. Anal. 5, No. 4, 214--237 (2022; Zbl 1513.41005) Full Text: DOI arXiv
Testici, A.; Israfilov, D. M. Matrix transforms in weighted variable exponent Lebesgue spaces. (English) Zbl 1524.41016 Azerb. J. Math. 12, No. 2, 30-44 (2022). MSC: 41A10 41A17 41A30 42A10 PDFBibTeX XMLCite \textit{A. Testici} and \textit{D. M. Israfilov}, Azerb. J. Math. 12, No. 2, 30--44 (2022; Zbl 1524.41016) Full Text: Link
Huang, Hongwei; Wang, Heping Polynomial inequalities in Lebesgue spaces with variable exponents on the sphere. (English) Zbl 1500.41003 J. Geom. Anal. 32, No. 1, Paper No. 33, 21 p. (2022). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A17 42B20 46E30 PDFBibTeX XMLCite \textit{H. Huang} and \textit{H. Wang}, J. Geom. Anal. 32, No. 1, Paper No. 33, 21 p. (2022; Zbl 1500.41003) Full Text: DOI
Testici, Ahmet; İsrafilzade, Daniyal M. Linear methods of approximation in weighted Lebesgue spaces with variable exponent. (English) Zbl 1499.42016 Hacet. J. Math. Stat. 50, No. 3, 744-753 (2021). MSC: 42A10 41A10 40D05 PDFBibTeX XMLCite \textit{A. Testici} and \textit{D. M. İsrafilzade}, Hacet. J. Math. Stat. 50, No. 3, 744--753 (2021; Zbl 1499.42016) Full Text: DOI
Israfilov, Daniyal M.; Gursel, Elife Direct and inverse theorems in variable exponent Smirnov classes. (English) Zbl 1481.30022 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 47, No. 1, 55-66 (2021). MSC: 30E10 30H15 41A10 PDFBibTeX XMLCite \textit{D. M. Israfilov} and \textit{E. Gursel}, Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 47, No. 1, 55--66 (2021; Zbl 1481.30022) Full Text: DOI
Zeren, Yusuf A variable exponent boundedness of the Steklov operator. (English) Zbl 1480.41003 Math. Inequal. Appl. 24, No. 3, 645-653 (2021). MSC: 41A17 41A25 41A65 46E30 65R10 PDFBibTeX XMLCite \textit{Y. Zeren}, Math. Inequal. Appl. 24, No. 3, 645--653 (2021; Zbl 1480.41003) Full Text: DOI
Costarelli, Danilo; Vinti, Gianluca Convergence of sampling Kantorovich operators in modular spaces with applications. (English) Zbl 07383976 Rend. Circ. Mat. Palermo (2) 70, No. 2, 1115-1136 (2021). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 47A58 41A25 41A05 41A35 46E30 47B38 PDFBibTeX XMLCite \textit{D. Costarelli} and \textit{G. Vinti}, Rend. Circ. Mat. Palermo (2) 70, No. 2, 1115--1136 (2021; Zbl 07383976) Full Text: DOI
Brander, Tommi; Siltakoski, Jarkko Recovering a variable exponent. (English) Zbl 1495.34031 Doc. Math. 26, 713-731 (2021). Reviewer: Natalia Bondarenko (Saratov) MSC: 34A55 41A10 PDFBibTeX XMLCite \textit{T. Brander} and \textit{J. Siltakoski}, Doc. Math. 26, 713--731 (2021; Zbl 1495.34031) Full Text: DOI arXiv
Testici, Ahmet; Israfilov, Daniyal M. Approximation by matrix transforms in generalized grand Lebesgue spaces with variable exponent. (English) Zbl 1490.42006 Appl. Anal. 100, No. 4, 819-834 (2021). Reviewer: Saini Soshal (Meerut) MSC: 42A10 41A10 PDFBibTeX XMLCite \textit{A. Testici} and \textit{D. M. Israfilov}, Appl. Anal. 100, No. 4, 819--834 (2021; Zbl 1490.42006) Full Text: DOI
Jafarov, Sadulla Z. On approximation of a weighted Lipschitz class functions by means \(t_n(f;x)\), \(N_n^\beta(f;x)\) and \(R_n^\beta(f,x)\) of Fourier series. (English) Zbl 1524.42004 Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 40, No. 4, Math., 118-129 (2020). MSC: 42A10 41A17 41A25 41A27 42A50 46E30 46E35 26A33 PDFBibTeX XMLCite \textit{S. Z. Jafarov}, Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 40, No. 4, Math., 118--129 (2020; Zbl 1524.42004) Full Text: DOI
Sawano, Yoshihiro; Tian, Xinxin; Xu, Jingshi Uniform boundedness of Szász-Mirakjan-Kantorovich operators in Morrey spaces with variable exponents. (English) Zbl 1499.41079 Filomat 34, No. 7, 2109-2121 (2020). MSC: 41A36 41A10 41A25 PDFBibTeX XMLCite \textit{Y. Sawano} et al., Filomat 34, No. 7, 2109--2121 (2020; Zbl 1499.41079) Full Text: DOI
Naraveni, Rajashekar; Chaudhary, Sudhakar; Srinivas Kumar, V. V. K. Minimization techniques for \(p(x)\)-Laplacian problem using WEB-spline based mesh-free method. (English) Zbl 1480.65344 Int. J. Comput. Math. 97, No. 3, 667-686 (2020). MSC: 65N30 65N12 35J62 41A15 65N22 PDFBibTeX XMLCite \textit{R. Naraveni} et al., Int. J. Comput. Math. 97, No. 3, 667--686 (2020; Zbl 1480.65344) Full Text: DOI
Abdullayev, Fahreddin; Chaichenko, Stanislav; Imash Kyzy, Meerim; Shidlich, Andrii Direct and inverse approximation theorems in the weighted Orlicz-type spaces with a variable exponent. (English) Zbl 1448.41013 Turk. J. Math. 44, No. 1, 284-299 (2020). MSC: 41A27 42A05 42A16 PDFBibTeX XMLCite \textit{F. Abdullayev} et al., Turk. J. Math. 44, No. 1, 284--299 (2020; Zbl 1448.41013) Full Text: arXiv Link
İsrafilzade, Daniyal M.; Gürsel, Elife Faber-Laurent series in variable Smirnov classes. (English) Zbl 1451.30072 Turk. J. Math. 44, No. 2, 389-402 (2020). MSC: 30E10 41A10 41A30 PDFBibTeX XMLCite \textit{D. M. İsrafilzade} and \textit{E. Gürsel}, Turk. J. Math. 44, No. 2, 389--402 (2020; Zbl 1451.30072) Full Text: Link
Ghorbanalizadeh, Arash; Seraji, Reza Roohi On the equivalence of the \(K\)-functional and the modulus of continuity on the periodic variable exponent Morrey spaces. (English) Zbl 1463.46049 Period. Math. Hung. 80, No. 2, 185-194 (2020). Reviewer: Dirk Werner (Berlin) MSC: 46E30 46B70 41A25 26A15 PDFBibTeX XMLCite \textit{A. Ghorbanalizadeh} and \textit{R. R. Seraji}, Period. Math. Hung. 80, No. 2, 185--194 (2020; Zbl 1463.46049) Full Text: DOI
Testici, Ahmet Some theorems of approximation theory in weighted Smirnov classes with variable exponent. (English) Zbl 1439.30059 Comput. Methods Funct. Theory 20, No. 1, 39-61 (2020). MSC: 30E10 41A10 41A30 PDFBibTeX XMLCite \textit{A. Testici}, Comput. Methods Funct. Theory 20, No. 1, 39--61 (2020; Zbl 1439.30059) Full Text: DOI
Testici, Ahmet Approximation by Nörlund and Riesz means in weighted Lebesgue space with variable exponent. (English) Zbl 1493.42003 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 68, No. 2, 2014-2025 (2019). Reviewer: Włodzimierz Łenski (Poznań) MSC: 42A10 41A25 41A30 PDFBibTeX XMLCite \textit{A. Testici}, Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 68, No. 2, 2014--2025 (2019; Zbl 1493.42003) Full Text: DOI
Ayazoglu (Mashiyev), Rabil; Akbulut, Sezgin; Akkoyunlu, Ebubekir Uniform boundedness of Kantorovich operators in variable exponent Lebesgue spaces. (English) Zbl 1499.41049 Filomat 33, No. 18, 5755-5765 (2019). MSC: 41A36 41A25 46E30 46E35 PDFBibTeX XMLCite \textit{R. Ayazoglu (Mashiyev)} et al., Filomat 33, No. 18, 5755--5765 (2019; Zbl 1499.41049) Full Text: DOI
Jafarov, Sadulla Z. Approximation by Zygmund means in variable exponent Lebesque spaces. (English) Zbl 1474.30249 Math. Morav. 23, No. 1, 27-39 (2019). MSC: 30E10 41A10 PDFBibTeX XMLCite \textit{S. Z. Jafarov}, Math. Morav. 23, No. 1, 27--39 (2019; Zbl 1474.30249) Full Text: DOI
Costarelli, Danilo; Vinti, Gianluca A quantitative estimate for the sampling Kantorovich series in terms of the modulus of continuity in Orlicz spaces. (English) Zbl 1463.41037 Constr. Math. Anal. 2, No. 1, 8-14 (2019). MSC: 41A35 26A15 41A25 PDFBibTeX XMLCite \textit{D. Costarelli} and \textit{G. Vinti}, Constr. Math. Anal. 2, No. 1, 8--14 (2019; Zbl 1463.41037) Full Text: DOI
Guliyev, Vagif S.; Ghorbanalizadeh, Arash; Sawano, Yoshihiro Approximation by trigonometric polynomials in variable exponent Morrey spaces. (English) Zbl 1429.42002 Anal. Math. Phys. 9, No. 3, 1265-1285 (2019). MSC: 42A10 41A10 41A25 46E30 46E35 PDFBibTeX XMLCite \textit{V. S. Guliyev} et al., Anal. Math. Phys. 9, No. 3, 1265--1285 (2019; Zbl 1429.42002) Full Text: DOI
Chaichenko, Stanislav O.; Shydlich, Andrii L. Approximative characteristics of modular Orlicz spaces. (English. Ukrainian original) Zbl 1423.41038 J. Math. Sci., New York 239, No. 1, 30-42 (2019); translation from Ukr. Mat. Visn. 15, No. 2, 194-209 (2018). MSC: 41A46 46E35 PDFBibTeX XMLCite \textit{S. O. Chaichenko} and \textit{A. L. Shydlich}, J. Math. Sci., New York 239, No. 1, 30--42 (2019; Zbl 1423.41038); translation from Ukr. Mat. Visn. 15, No. 2, 194--209 (2018) Full Text: DOI
Wei, Haihua; Xu, Jingshi Proximinality in Banach space-valued grand Bochner-Lebesgue spaces with variable exponent. (English) Zbl 1428.46012 Math. Notes 105, No. 4, 618-624 (2019). Reviewer: Alexey Alimov (Moskva) MSC: 46B20 41A65 46E40 PDFBibTeX XMLCite \textit{H. Wei} and \textit{J. Xu}, Math. Notes 105, No. 4, 618--624 (2019; Zbl 1428.46012) Full Text: DOI
Wei, Haihua; Xu, Jingshi Simultaneous approximations in Banach space-valued Bochner-Lebesgue spaces with variable exponent. (English) Zbl 1453.41009 Numer. Funct. Anal. Optim. 40, No. 1, 19-33 (2019). Reviewer: Cătălin Badea (Villeneuve d’Ascq) MSC: 41A65 41A28 46G10 PDFBibTeX XMLCite \textit{H. Wei} and \textit{J. Xu}, Numer. Funct. Anal. Optim. 40, No. 1, 19--33 (2019; Zbl 1453.41009) Full Text: DOI
Akgün, Ramazan; Yildirir, Yunus Emre Convolution and Jackson inequalities in Musielak-Orlicz spaces. (English) Zbl 1424.42003 Turk. J. Math. 42, No. 5, 2166-2185 (2018). MSC: 42A10 41A25 41A27 PDFBibTeX XMLCite \textit{R. Akgün} and \textit{Y. E. Yildirir}, Turk. J. Math. 42, No. 5, 2166--2185 (2018; Zbl 1424.42003) Full Text: DOI
Akgün, Ramazan; Ghorbanalizadeh, Arash Approximation by integral functions of finite degree in variable exponent Lebesgue spaces on the real axis. (English) Zbl 1424.46043 Turk. J. Math. 42, No. 4, 1887-1903 (2018). MSC: 46E30 41A10 41A17 PDFBibTeX XMLCite \textit{R. Akgün} and \textit{A. Ghorbanalizadeh}, Turk. J. Math. 42, No. 4, 1887--1903 (2018; Zbl 1424.46043) Full Text: DOI
Avşar, Ahmet Hamdi; Koç, Hüseyin Jackson and Stechkin type inequalities of trigonometric approximation in \(A_{w,\vartheta}^{p,q(\cdot)}\). (English) Zbl 1424.42004 Turk. J. Math. 42, No. 6, 2979-2993 (2018). MSC: 42A10 41A17 PDFBibTeX XMLCite \textit{A. H. Avşar} and \textit{H. Koç}, Turk. J. Math. 42, No. 6, 2979--2993 (2018; Zbl 1424.42004) Full Text: DOI
Abdellaoui, Mohammed; Azroul, Elhoussine Renormalized solutions for nonlinear parabolic equations with general measure data. (English) Zbl 1393.35260 Electron. J. Differ. Equ. 2018, Paper No. 132, 21 p. (2018). MSC: 35R06 41A30 35B45 37K45 32U20 PDFBibTeX XMLCite \textit{M. Abdellaoui} and \textit{E. Azroul}, Electron. J. Differ. Equ. 2018, Paper No. 132, 21 p. (2018; Zbl 1393.35260) Full Text: Link
Jafarov, Sadulla Z. Approximation of the functions in weighted Lebesgue spaces with variable exponent. (English) Zbl 1402.30035 Complex Var. Elliptic Equ. 63, No. 10, 1444-1458 (2018). Reviewer: Adhemar Bultheel (Leuven) MSC: 30E10 41A10 41A25 46E30 PDFBibTeX XMLCite \textit{S. Z. Jafarov}, Complex Var. Elliptic Equ. 63, No. 10, 1444--1458 (2018; Zbl 1402.30035) Full Text: DOI
Israfilov, Daniyal M.; Testici, Ahmet Approximation by matrix transforms in weighted Lebesgue spaces with variable exponent. (English) Zbl 1390.41006 Result. Math. 73, No. 1, Paper No. 8, 25 p. (2018). MSC: 41A10 42A10 PDFBibTeX XMLCite \textit{D. M. Israfilov} and \textit{A. Testici}, Result. Math. 73, No. 1, Paper No. 8, 25 p. (2018; Zbl 1390.41006) Full Text: DOI
Israfilov, Daniyal M.; Testici, Ahmet Approximation problems in the Lebesgue spaces with variable exponent. (English) Zbl 1395.46023 J. Math. Anal. Appl. 459, No. 1, 112-123 (2018). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 46E30 41A10 PDFBibTeX XMLCite \textit{D. M. Israfilov} and \textit{A. Testici}, J. Math. Anal. Appl. 459, No. 1, 112--123 (2018; Zbl 1395.46023) Full Text: DOI
Li, Bing-Zheng; He, Bo-Lu; Zhou, Ding-Xuan Approximation on variable exponent spaces by linear integral operators. (English) Zbl 1373.41017 J. Approx. Theory 223, 29-51 (2017). Reviewer: Vijay Gupta (New Delhi) MSC: 41A35 41A45 PDFBibTeX XMLCite \textit{B.-Z. Li} et al., J. Approx. Theory 223, 29--51 (2017; Zbl 1373.41017) Full Text: DOI
Kinj, Ahmed; Ali, Mohammad; Mahmoud, Suliman Approximation by rational functions in Smirnov classes with variable exponent. (English) Zbl 1372.30031 Arab. J. Math. 6, No. 2, 79-86 (2017). MSC: 30E10 41A20 PDFBibTeX XMLCite \textit{A. Kinj} et al., Arab. J. Math. 6, No. 2, 79--86 (2017; Zbl 1372.30031) Full Text: DOI
Israfilov, Daniyal M.; Testici, Ahmet Approximation by Faber-Laurent rational functions in Lebesgue spaces with variable exponent. (English) Zbl 1354.30026 Indag. Math., New Ser. 27, No. 4, 914-922 (2016). Reviewer: Yuri A. Farkov (Moscow) MSC: 30E10 41A20 PDFBibTeX XMLCite \textit{D. M. Israfilov} and \textit{A. Testici}, Indag. Math., New Ser. 27, No. 4, 914--922 (2016; Zbl 1354.30026) Full Text: DOI
Cruz-Uribe, David; Hernández, Eugenio; Martell, José María Greedy bases in variable Lebesgue spaces. (English) Zbl 1339.41015 Monatsh. Math. 179, No. 3, 355-378 (2016). Reviewer: Yuri A. Farkov (Moscow) MSC: 41A17 42B35 42C40 PDFBibTeX XMLCite \textit{D. Cruz-Uribe} et al., Monatsh. Math. 179, No. 3, 355--378 (2016; Zbl 1339.41015) Full Text: DOI arXiv
Israfilov, Daniyal M.; Testici, Ahmet Approximation in Smirnov classes with variable exponent. (English) Zbl 1325.30035 Complex Var. Elliptic Equ. 60, No. 9, 1243-1253 (2015). MSC: 30E10 41A10 42A10 41A30 PDFBibTeX XMLCite \textit{D. M. Israfilov} and \textit{A. Testici}, Complex Var. Elliptic Equ. 60, No. 9, 1243--1253 (2015; Zbl 1325.30035) Full Text: DOI
Li, Bing-Zheng; Zhou, Ding-Xuan Analysis of approximation by linear operators on variable \(L_\rho^{p(\cdot)}\) spaces and applications in learning theory. (English) Zbl 1470.41021 Abstr. Appl. Anal. 2014, Article ID 454375, 10 p. (2014). MSC: 41A36 PDFBibTeX XMLCite \textit{B.-Z. Li} and \textit{D.-X. Zhou}, Abstr. Appl. Anal. 2014, Article ID 454375, 10 p. (2014; Zbl 1470.41021) Full Text: DOI
Xu, Jingshi Proximinality in Banach space valued Musielak-Orlicz spaces. (English) Zbl 1375.46031 J. Inequal. Appl. 2014, Paper No. 146, 9 p. (2014). MSC: 46E40 41A65 PDFBibTeX XMLCite \textit{J. Xu}, J. Inequal. Appl. 2014, Paper No. 146, 9 p. (2014; Zbl 1375.46031) Full Text: DOI
Izuki, Mitsuo; Sawano, Yoshihiro A criterion of sampling theorems on Banach function spaces. (English) Zbl 1348.42021 Tokyo J. Math. 36, No. 1, 131-145 (2013). MSC: 42B35 94A20 41A17 PDFBibTeX XMLCite \textit{M. Izuki} and \textit{Y. Sawano}, Tokyo J. Math. 36, No. 1, 131--145 (2013; Zbl 1348.42021) Full Text: DOI Euclid
Akgün, R.; Kokilashvili, V. Some approximation problems for \((\alpha,\psi)\)-differentiable functions in weighted variable exponent Lebesgue spaces. (English. Russian original) Zbl 1264.41020 J. Math. Sci., New York 186, No. 2, 139-152 (2012); translation from Probl. Mat. Anal. 66, 3-14 (2012). MSC: 41A30 46E30 PDFBibTeX XMLCite \textit{R. Akgün} and \textit{V. Kokilashvili}, J. Math. Sci., New York 186, No. 2, 139--152 (2012; Zbl 1264.41020); translation from Probl. Mat. Anal. 66, 3--14 (2012) Full Text: DOI