Li, Yan-Fang; Lim, Dongkyu; Qi, Feng Closed-form formulas, determinantal expressions, recursive relations, power series, and special values of several functions used in Clark–Ismail’s two conjectures. arXiv:2310.12697 Preprint, arXiv:2310.12697 [math.CA] (2023). MSC: 33B10 15A15 26A24 26A48 26A51 33B15 44A10 41A58 BibTeX Cite \textit{Y.-F. Li} et al., ``Closed-form formulas, determinantal expressions, recursive relations, power series, and special values of several functions used in Clark--Ismail's two conjectures'', Preprint, arXiv:2310.12697 [math.CA] (2023) Full Text: DOI arXiv OA License
Guo, Bai-Ni; Lim, Dongkyu; Qi, Feng Maclaurin’s series expansions for positive integer powers of inverse (hyperbolic) sine and tangent functions, closed-form formula of specific partial Bell polynomials, and series representation of generalized logsine function. (English) Zbl 1513.41041 Appl. Anal. Discrete Math. 16, No. 2, 427-466 (2022). MSC: 41A58 05A19 11B73 11B83 11C08 26A39 33B10 33B15 33B20 PDFBibTeX XMLCite \textit{B.-N. Guo} et al., Appl. Anal. Discrete Math. 16, No. 2, 427--466 (2022; Zbl 1513.41041) Full Text: DOI
Qi, Feng Taylor’s series expansions for real powers of two functions containing squares of inverse cosine function, closed-form formula for specific partial Bell polynomials, and series representations for real powers of pi. (English) Zbl 1525.41014 Demonstr. Math. 55, 710-736 (2022). MSC: 41A58 05A19 11B73 11M06 33B10 PDFBibTeX XMLCite \textit{F. Qi}, Demonstr. Math. 55, 710--736 (2022; Zbl 1525.41014) Full Text: DOI arXiv
Qi, Feng; Taylor, Peter Several series expansions for real powers and several formulas for partial Bell polynomials of sinc and sinhc functions in terms of central factorial and Stirling numbers of second kind. arXiv:2204.05612 Preprint, arXiv:2204.05612 [math.CA] (2022). MSC: 41A58 05A19 11B73 11B83 11C08 33B10 BibTeX Cite \textit{F. Qi} and \textit{P. Taylor}, ``Several series expansions for real powers and several formulas for partial Bell polynomials of sinc and sinhc functions in terms of central factorial and Stirling numbers of second kind'', Preprint, arXiv:2204.05612 [math.CA] (2022) Full Text: DOI arXiv OA License
Guo, Bai-Ni; Lim, Dongkyu; Qi, Feng Series expansions of powers of arcsine, closed forms for special values of Bell polynomials, and series representations of generalized logsine functions. (English) Zbl 1484.11084 AIMS Math. 6, No. 7, 7494-7517 (2021). MSC: 11B83 11C08 12E10 26A39 33B10 41A58 PDFBibTeX XMLCite \textit{B.-N. Guo} et al., AIMS Math. 6, No. 7, 7494--7517 (2021; Zbl 1484.11084) Full Text: DOI
Qi, Feng; Li, Wen-Hui; Wu, Guo-Sheng; Guo, Bai-Ni Refinements of Young’s integral inequality via fundamental inequalities and mean value theorems for derivatives. (English) Zbl 1455.26020 Dutta, Hemen (ed.), Topics in contemporary mathematical analysis and applications. Boca Raton, FL: CRC Press (ISBN 978-0-367-53266-6/hbk; 978-1-003-08119-7/ebook). Mathematics and its Applications: Modelling, Engineering, and Social Sciences, 193-228 (2021). MSC: 26D15 PDFBibTeX XMLCite \textit{F. Qi} et al., in: Topics in contemporary mathematical analysis and applications. Boca Raton, FL: CRC Press. 193--228 (2021; Zbl 1455.26020) Full Text: DOI arXiv
Özat, Zeynep; Çekim, Bayram; Kızılateş, Can; Qi, Feng Parametric kinds of generalized Apostol-Bernoulli polynomials and their properties. arXiv:2110.09411 Preprint, arXiv:2110.09411 [math.CA] (2021). MSC: 41A58 11B73 11B83 26A24 33B10 BibTeX Cite \textit{Z. Özat} et al., ``Parametric kinds of generalized Apostol-Bernoulli polynomials and their properties'', Preprint, arXiv:2110.09411 [math.CA] (2021) Full Text: arXiv OA License
Qi, Feng; Ward, Mark Daniel Closed-form formulas and properties of coefficients in Maclaurin’s series expansion of Wilf’s function composited by inverse tangent, square root, and exponential functions. arXiv:2110.08576 Preprint, arXiv:2110.08576 [math.CO] (2021). MSC: 41A58 11B73 11B83 26A24 33B10 BibTeX Cite \textit{F. Qi} and \textit{M. D. Ward}, ``Closed-form formulas and properties of coefficients in Maclaurin's series expansion of Wilf's function composited by inverse tangent, square root, and exponential functions'', Preprint, arXiv:2110.08576 [math.CO] (2021) Full Text: arXiv OA License
Guo, Bai-Ni; Lim, Dongkyu; Qi, Feng Maclaurin’s series expansions for positive integer powers of inverse (hyperbolic) sine and related functions, specific values of partial Bell polynomials, and two applications. arXiv:2101.10686 Preprint, arXiv:2101.10686 [math.CO] (2021). MSC: 41A58 05A19 11B73 11B83 11C08 26A39 33B10 33B15 33B20 BibTeX Cite \textit{B.-N. Guo} et al., ``Maclaurin's series expansions for positive integer powers of inverse (hyperbolic) sine and related functions, specific values of partial Bell polynomials, and two applications'', Preprint, arXiv:2101.10686 [math.CO] (2021) Full Text: DOI arXiv OA License
Li, Wen-Hui; Cao, Jian; Niu, Da-Wei; Zhao, Jiao-Lian; Qi, Feng An analytic generalization of the Catalan numbers and its integral representation. arXiv:2005.13515 Preprint, arXiv:2005.13515 [math.CO] (2020). MSC: 05A15 11B75 11B83 26A09 30E20 41A58 BibTeX Cite \textit{W.-H. Li} et al., ``An analytic generalization of the Catalan numbers and its integral representation'', Preprint, arXiv:2005.13515 [math.CO] (2020) Full Text: DOI arXiv OA License
Wang, Jun-Qing; Guo, Bai-Ni; Qi, Feng Generalizations and applications of Young’s integral inequality by higher order derivatives. (English) Zbl 1499.26197 J. Inequal. Appl. 2019, Paper No. 243, 18 p. (2019). MSC: 26D15 26A51 26D05 26D07 33B10 PDFBibTeX XMLCite \textit{J.-Q. Wang} et al., J. Inequal. Appl. 2019, Paper No. 243, 18 p. (2019; Zbl 1499.26197) Full Text: DOI
Qi, Feng Pólya type integral inequalities: origin, variants, proofs, refinements, generalizations, equivalences, and applications. (English) Zbl 1307.26037 Math. Inequal. Appl. 18, No. 1, 1-38 (2015). MSC: 26D15 33C75 33E05 41A55 PDFBibTeX XMLCite \textit{F. Qi}, Math. Inequal. Appl. 18, No. 1, 1--38 (2015; Zbl 1307.26037) Full Text: DOI
Huo, Zhen-Hong; Niu, Da-Wei; Cao, Jian; Qi, Feng A generalization of Jordan’s inequality and an application. (English) Zbl 1223.26040 Hacet. J. Math. Stat. 40, No. 1, 53-61 (2011). MSC: 26D15 26D05 30D35 34E05 41A58 41A60 PDFBibTeX XMLCite \textit{Z.-H. Huo} et al., Hacet. J. Math. Stat. 40, No. 1, 53--61 (2011; Zbl 1223.26040)
Qi, Feng; Cerone, Pietro; Dragomir, Sever S. Some new Iyengar type inequalities. (English) Zbl 1083.26017 Rocky Mt. J. Math. 35, No. 3, 997-1015 (2005). Reviewer: József Sándor (Cluj-Napoca) MSC: 26D15 41A55 PDFBibTeX XMLCite \textit{F. Qi} et al., Rocky Mt. J. Math. 35, No. 3, 997--1015 (2005; Zbl 1083.26017) Full Text: DOI
Luo, Qiu-Ming; Qi, Feng; Guo, Bai-Ni K. Petr’s formula of double integral and estimates of its remainder. (English) Zbl 1074.41029 Int. J. Math. Sci. 3, No. 1, 77-92 (2004). Reviewer: S. M. Mazhar (Kuwait) MSC: 41A58 41A55 26D10 26D15 PDFBibTeX XMLCite \textit{Q.-M. Luo} et al., Int. J. Math. Sci. 3, No. 1, 77--92 (2004; Zbl 1074.41029)
Guo, Bai-Ni; Qi, Feng Estimates for an integral in \(L^p\) norm of the \((n+1)\)-th derivative of its integrand. (English) Zbl 1061.26018 Cho, Yeol Je (ed.) et al., Inequality theory and applications. Vol. 3. Papers from the 7th international conference on nonlinear functional analysis and applications, Gyeongsang National University, Chinju, Korea and at Kyungnam University, Masan, Korea, August 6–10, 2001. Hauppauge, NY: Nova Science Publishers (ISBN 1-59033-891-X/hbk). 127-131 (2003). MSC: 26D15 65D30 PDFBibTeX XMLCite \textit{B.-N. Guo} and \textit{F. Qi}, in: Inequality theory and applications. Vol. 3. Papers from the 7th international conference on nonlinear functional analysis and applications, Gyeongsang National University, Chinju, Korea and at Kyungnam University, Masan, Korea, August 6--10, 2001. Hauppauge, NY: Nova Science Publishers. 127--131 (2003; Zbl 1061.26018)
Qi, Feng Inequalities for a weighted multiple integral. (English) Zbl 0966.26013 J. Math. Anal. Appl. 253, No. 2, 381-388 (2001). MSC: 26D15 26B15 PDFBibTeX XMLCite \textit{F. Qi}, J. Math. Anal. Appl. 253, No. 2, 381--388 (2001; Zbl 0966.26013) Full Text: DOI Link
Qi, Feng Further generalizations of inequalities for an integral. (English) Zbl 1018.26012 Publ. Elektroteh. Fak., Univ. Beogr., Ser. Mat. 8, 79-83 (1997). Reviewer: Gradimir Milovanović (Niš) MSC: 26D15 PDFBibTeX XMLCite \textit{F. Qi}, Publ. Elektroteh. Fak., Univ. Beogr., Ser. Mat. 8, 79--83 (1997; Zbl 1018.26012)
Feng, Qi A method of constructing inequalities about \(e\). (English) Zbl 0945.26027 Publ. Elektroteh. Fak., Univ. Beogr., Ser. Mat. 8, 16-23 (1997). Reviewer: Milan Merkle (Zemun) MSC: 26D15 41A58 33B10 PDFBibTeX XMLCite \textit{Q. Feng}, Publ. Elektroteh. Fak., Univ. Beogr., Ser. Mat. 8, 16--23 (1997; Zbl 0945.26027)