Yanovich, I.; Ignatenko, M. On a spline-interpolation of functions with matrix variables. (English) Zbl 1378.65047 Rogosin, S. V. (ed.) et al., Analytic methods of analysis and differential equations: AMADE 2015. Selected papers of the 8th international workshop, Minsk, Belarus, September 14–19, 2015. Dedicated to the memory of A. A. Kilbas. Cambridge: Cambridge Scientific Publishers (ISBN 978-1-908106-56-8/pbk). 149-160 (2016). MSC: 65D05 65D07 41A05 41A15 41A63 PDFBibTeX XMLCite \textit{I. Yanovich} and \textit{M. Ignatenko}, in: Analytic methods of analysis and differential equations: AMADE 2015. Selected papers of the 8th international workshop, Minsk, Belarus, September 14--19, 2015. Dedicated to the memory of A. A. Kilbas. Cambridge: Cambridge Scientific Publishers. 149--160 (2016; Zbl 1378.65047)
Yanovich, L.; Ignatenko, M. On interpolation methods operator approximation. (English) Zbl 1387.47011 Rogosin, S. V. (ed.) et al., Analytic methods of analysis and differential equations: AMADE 2012. Selected papers of the 7th international workshop, Minsk, Belarus, September 10–15, 2012. Cambridge: Cambridge Scientific Publishers (ISBN 978-1-908106-29-2/pbk). 203-221 (2014). Reviewer: Florian-Horia Vasilescu (Villeneuve d’Ascq) MSC: 47A57 47A58 PDFBibTeX XMLCite \textit{L. Yanovich} and \textit{M. Ignatenko}, in: Analytic methods of analysis and differential equations: AMADE 2012. Selected papers of the 7th international workshop, Minsk, Belarus, September 10--15, 2012. Cambridge: Cambridge Scientific Publishers. 203--221 (2014; Zbl 1387.47011)
Xie, Xianhua; Ma, Li \(L^r_\alpha(\mathbb R^n)\) boundedness of a special rough singular operator. (Chinese. English summary) Zbl 1313.47056 J. Jiangxi Norm. Univ., Nat. Sci. Ed. 37, No. 6, 624-627 (2013). MSC: 47B34 42B25 PDFBibTeX XMLCite \textit{X. Xie} and \textit{L. Ma}, J. Jiangxi Norm. Univ., Nat. Sci. Ed. 37, No. 6, 624--627 (2013; Zbl 1313.47056)
Makarov, Volodymyr L.; Khlobystov, Volodymyr V.; Yanovich, Leonid A. Methods of operator interpolation. (English) Zbl 1240.41001 Pratsi Instytutu Matematyky Natsional’noï Akademiï Nauk Ukraïny. Matematyka ta ïï Zastosuvannya 83. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 978-966-02-5746-7). 517 p. (2010). MSC: 41-02 46-02 41A05 41A65 46G25 65D05 PDFBibTeX XMLCite \textit{V. L. Makarov} et al., Methods of operator interpolation. Kyïv: Instytut Matematyky NAN Ukraïny (2010; Zbl 1240.41001)
Brenner, Susanne C.; Scott, L. Ridgway The mathematical theory of finite element methods. 3rd ed. (English) Zbl 1135.65042 Texts in Applied Mathematics 15. New York, NY: Springer (ISBN 978-0-387-75933-3/hbk). xvii, 397 p. (2008). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65-02 46N40 65N55 74S05 76M10 35J25 65N50 65F10 65F35 PDFBibTeX XMLCite \textit{S. C. Brenner} and \textit{L. R. Scott}, The mathematical theory of finite element methods. 3rd ed. New York, NY: Springer (2008; Zbl 1135.65042) Full Text: DOI
Khlobystov, V. V.; Kashpur, E. F. Estimates of interpolation accuracy of polynomial and integral functionals in \(L_2(0,1)\). (English. Russian original) Zbl 1067.47023 Cybern. Syst. Anal. 40, No. 1, 75-80 (2004); translation from Kibern. Sist. Anal. 2004, No. 1, 91-97 (2004). MSC: 47A57 65D05 47A58 47J05 41A05 PDFBibTeX XMLCite \textit{V. V. Khlobystov} and \textit{E. F. Kashpur}, Cybern. Syst. Anal. 40, No. 1, 75--80 (2004; Zbl 1067.47023); translation from Kibern. Sist. Anal. 2004, No. 1, 91--97 (2004) Full Text: DOI
Yanovich, L. A.; Doroshko, V. V. Operator Hermite and Birkhoff interpolation formulas in spaces of differentiable functions. (Russian) Zbl 1096.41009 Ukrainian mathematical congress–2001, Kiev, Ukraine, August 21–23, 2001. Proceedings. Section 8. Computational mathematics and mathematical problems of mechanics. Kyïv: Instytut Matematyky NAN Ukraïny (ISBN 966-02-2778-7). 137-145 (2002). MSC: 41A10 41A35 47A57 PDFBibTeX XMLCite \textit{L. A. Yanovich} and \textit{V. V. Doroshko}, in: Ukraïns'kyj matematychnyj kongres -- 2001. Pratsi. Sektsiya 8. Obchyslyuval'na matematyka i matematychni problemy mekhaniky. Kyïv: Instytut Matematyky NAN Ukraïny. 137--145 (2002; Zbl 1096.41009)
Ignatenko, M. V.; Yanovich, L. A. Newton type operator interpolation formulas based on interpolation by means of rational functions. (English) Zbl 1046.47017 Comput. Methods Appl. Math. 2, No. 2, 143-152 (2002). Reviewer: Vladimir V. Peller (East Lansing) MSC: 47A57 46L05 22D25 PDFBibTeX XMLCite \textit{M. V. Ignatenko} and \textit{L. A. Yanovich}, Comput. Methods Appl. Math. 2, No. 2, 143--152 (2002; Zbl 1046.47017) Full Text: EMIS
Brenner, Susanne C.; Scott, L. Ridgway The mathematical theory of finite element methods. 2nd ed. (English) Zbl 1012.65115 Texts in Applied Mathematics. 15. Berlin: Springer. xv, 361 p. (2002). Reviewer: Batmanathan D.Reddy (Rondebosch) MSC: 65N30 65-02 74S05 74B05 35Jxx 65N55 PDFBibTeX XMLCite \textit{S. C. Brenner} and \textit{L. R. Scott}, The mathematical theory of finite element methods. 2nd ed. Berlin: Springer (2002; Zbl 1012.65115)
Ignatenko, M. V.; Manyuk, E. M. Interpolation formulae for differentiable operators defined on Cartesian product of Hilbert spaces. (English) Zbl 0959.41003 Tr. Inst. Mat., Minsk 6, 96-99 (2000). Reviewer: Sergei V.Rogosin (Minsk) MSC: 41A05 41A35 65D05 PDFBibTeX XMLCite \textit{M. V. Ignatenko} and \textit{E. M. Manyuk}, Tr. Inst. Mat., Minsk 6, 96--99 (2000; Zbl 0959.41003)
Meng, Boqin Applications of interpolation spaces theory. (Chinese. English summary) Zbl 0961.46014 Acta Anal. Funct. Appl. 2, No. 2, 185-192 (2000). MSC: 46B70 46M35 PDFBibTeX XMLCite \textit{B. Meng}, Acta Anal. Funct. Appl. 2, No. 2, 185--192 (2000; Zbl 0961.46014)
Makarov, V. L.; Khlobystov, V. V.; Yanovich, L. A. Interpolation operators. (Interpolirovanie operatorov.) (Russian) Zbl 0956.47007 Kiev: Naukova Dumka. 407 p. (2000). MSC: 47A57 47A58 47-02 PDFBibTeX XMLCite \textit{V. L. Makarov} et al., Interpolirovanie operatorov (Russian). Kiev: Naukova Dumka (2000; Zbl 0956.47007)
Yanovich, L. A.; Ignatenko, M. V. Formulae of operator interpolation in spaces of continuously differentiable functions. (Russian) Zbl 1032.46525 Tr. Inst. Mat., Minsk 3, 89-98 (1999). MSC: 46L05 22D25 PDFBibTeX XMLCite \textit{L. A. Yanovich} and \textit{M. V. Ignatenko}, Tr. Inst. Mat., Minsk 3, 89--98 (1999; Zbl 1032.46525)
Timotin, Dan A note on the three chains theorem in metric constrained interpolation theory. (English) Zbl 1027.47501 Bul. Acad. Ştiinţe Repub. Mold., Mat. 1998, No. 3(28), 133-136 (1998). MSC: 47A57 47A20 PDFBibTeX XMLCite \textit{D. Timotin}, Bul. Acad. Științe Repub. Mold., Mat. 1998, No. 3(28), 133--136 (1998; Zbl 1027.47501)
Makarov, V. L.; Khlobystov, V. V. Principles of the theory of polynomial operator interpolation. (Osnovy teorii polinomial’ nogo operatornogo interpolirovaniya.) (Russian) Zbl 0952.41002 Pratsi Instytutu Matematyky Natsional’noï Akademiï Nauk Ukraïny. Matematyka ta ïï Zastosuvannya. 24. Kyiv: Instytut Matematyky NAN Ukraïny. 279 p. (1998). Reviewer: Yu.V.Kozachenko (Kyïv) MSC: 41A05 47A57 41-02 41A10 PDFBibTeX XMLCite \textit{V. L. Makarov} and \textit{V. V. Khlobystov}, Osnovy teorii polinomial' nogo operatornogo interpolirovaniya (Russian). Kyiv: Instytut Matematyky NAN Ukraïny (1998; Zbl 0952.41002)
Ignatenko, M. V. Application of the Fourier transform and the sin(cos)-transform for the construction of operator interpolation formulae. (Russian. English summary) Zbl 0904.65005 Vestn. Beloruss. Gos. Univ., Ser. 1, Fiz. Mat. Inform. 1997, No. 3, 53-58 (1997). Reviewer: V.Burjan (Praha) MSC: 65D05 65J05 41A65 41A05 PDFBibTeX XMLCite \textit{M. V. Ignatenko}, Vestn. Beloruss. Gos. Univ., Ser. 1, Fiz. Mat. Inform. 1997, No. 3, 53--58 (1997; Zbl 0904.65005)
Brenner, Susanne C.; Scott, L. Ridgway The mathematical theory of finite element methods. (English) Zbl 0804.65101 Texts in Applied Mathematics. 15. New York: Springer-Verlag. xii, 294 p. (1994). Reviewer: B.D.Reddy (Rondebosch) MSC: 65N30 65N55 65-02 74S05 74B05 35Jxx PDFBibTeX XMLCite \textit{S. C. Brenner} and \textit{L. R. Scott}, The mathematical theory of finite element methods. New York: Springer-Verlag (1994; Zbl 0804.65101)
Kashpur, E. F.; Makarov, V. L.; Khlobystov, V. V. On the problem of Hermite interpolation of operators in a Hilbert space. (English. Russian original) Zbl 0969.41022 J. Math. Sci., New York 84, No. 4, 1233-1239 (1997); translation from Obchisl. Prikl. Mat. 78, 38-48 (1994). MSC: 41A65 PDFBibTeX XMLCite \textit{E. F. Kashpur} et al., J. Math. Sci., New York 84, No. 4, 1 (1994; Zbl 0969.41022); translation from Obchisl. Prikl. Mat. 78, 38--48 (1994)
Lachowicz, Miroslaw; Monaco, Roberto Analysis by the operator interpolation method of an initial-boundary value problem for the semidiscrete Boltzmann equation. (English) Zbl 0731.45011 Modern mathematical methods in transport theory, Proc. 11th Int. Conf. Symp., Blacksburg/VA (USA) 1989, Oper. Theory, Adv. Appl. 51, 215-226 (1991). Reviewer: S.Anitą (Iaşi) MSC: 45K05 45L05 82C40 76P05 PDFBibTeX XML
Tadmor, Gilead \(H^{\infty}\) interpolation and systems with input delays: A time domain approach. (English) Zbl 0675.46022 Linear circuits, systems and signal processing, Sel. Pap. 8th Int. Symp. Math. Theory Networks Syst., Phoenix/Ariz. 1987, 603-608 (1988). MSC: 46J15 41A05 93D25 PDFBibTeX XML