Ostrowski type inequalities for k-β\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\beta$$\end{document}-convex functions via Riemann–Liouville k-fractional integrals

被引:0
作者
Fahim Lakhal
机构
[1] University 8 Mai 1945,Department of Mathematics
来源
Rendiconti del Circolo Matematico di Palermo Series 2 | 2021年 / 70卷 / 3期
关键词
Ostrowski inequality; Hölder inequality; Power mean inequality; -; -Convex function; Riemann–Liouville ; -Fractional integrals; 26A33; 26A51; 26D07; 26D10; 26D15;
D O I
10.1007/s12215-020-00571-w
中图分类号
学科分类号
摘要
In this paper, we introduce a new concept k-β\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\beta$$\end{document}-convex functions and establish some new Ostrowski’s inequalities for functions whose derivative modulus is k-β\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\beta$$\end{document}-convex via Riemann–Liouville k-fractional integrals.
引用
收藏
页码:1561 / 1578
页数:17
相关论文
共 35 条
[1]  
Alomari M(2010)Ostrowski type inequalities for functions whose derivatives are s-convex in the second sense Appl. Math. Lett. 23 1071-1076
[2]  
Darus M(2007)On hypergeometric functions and Pochhammer k-symbol Divulg. Mat. 15 179-192
[3]  
Dragomir SS(1995)Some inequalities of Hadamard type Soochow J. Math. 21 335-341
[4]  
Cerone P(2015)Inequalities of Hermite–Hadamard type for h-convex functions on linear spaces Proyecciones 34 323-341
[5]  
Diaz R(2017)Ostrowski type fractional integral inequalities for Proyecciones J. Math. 36 753-767
[6]  
Pariguan E(2017)-Godunova–Levin functions via Nonlinear Funct. Anal. Appl. 22 627-639
[7]  
Dragomir SS(2019)-fractional integrals Appl. Math. Inf. Sci. 13 121-127
[8]  
Pečarić J(2015)Ostrowski type k-fractional integral inequalities for MT- convex and h-convex functions Miskolc Math. Notes 16 249-256
[9]  
Persson LE(2019)Ostrowski type inequalities for functions whose derivative modulus is relatively convex Trans. Natl. Acad. Sci. Azerb. Ser. Phys.-Tech. Math. Sci. 39 1-22
[10]  
Dragomir SS(2012)Ostrowski type fractional integral inequalities for Int. J. Contemp. Math. Sci. 7 89-94