OSTROWSKI-TYPE FRACTIONAL INTEGRAL INEQUALITIES FOR r -TIMES DIFFERENTIABLE h-CONVEX FUNCTIONS

被引：0

作者：

Hussain, Sabir ^{[1
]}

Azhar, Faiza ^{[1
]}

Latif, Muhammad Amer ^{[2
]}

Khalid, Javariya ^{[1
]}

机构：

[1] Univ Engn & Technol Lahore, Dept Math, Lahore, Pakistan

[2] King Faisal Univ, Dept Basic Sci, Al Hufuf 31982, Al Hasa, Saudi Arabia

来源：

PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS | 2021年 / 53卷 / 07期

关键词：

Ostrowski inequality; fractional integral; h-convex function; HERMITE-HADAMARD INEQUALITY; FEJER TYPE INEQUALITIES; DERIVATIVES;

D O I：

10.52280/pujm.2021.530702

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The authors have tried to prove some Ostrowski-type fractional integral inequalities for r-times differentiable functions and generalized some results which were carried out in both [6, 25]. Some applications to special means are given. The methods and techniques of this paper could further stimulate the research conducted in the field of fractional integral inequalities.

引用

页码：459 / 474

页数：16

共 30 条

[1] A superadditive property of Hadamard's gamma function [J].

Alzer, Horst .

ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2009, 79 (01) :11-23

[2]

Dragomir S.S., 1995, SOOCHOW J MATH, V21, P335

[3]

Dragomir S S., 1997, Tamkang Journal of Mathematics, V28, P239, DOI 10.5556/j.tkjm.28.1997.4320

[4] Inequalities for beta and gamma functions via some classical and new integral inequalities [J].

Dragomir, SS ;

Agarwal, RP ;

Barnett, NS .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2000, 5 (02) :103-165

[5] Applications of Ostrowski's inequality to the estimation of error bounds for some special means and for some numerical quadrature rules [J].

Dragomir, SS ;

Wang, S .

APPLIED MATHEMATICS LETTERS, 1998, 11 (01) :105-109

[6] Ostrowski-type fractional integral inequalities for mappings whose derivatives are h-convex via Katugampola fractional integrals [J].

Farid, Ghulam ;

Katugampola, Udita N. ;

Usman, Muhammad .

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2018, 63 (04) :465-474

[7]

Hadamard J., 1892, J. Math. Pures Appl, V4, P101

[8]

Hudzik H., 1994, AEQUATIONES MATH, V48, P100, DOI DOI 10.1007/BF01837981

[9]

Hussain S., J ANAL-INDIA, V10, P1

[10]

Katugampola UN, 2014, BULL MATH ANAL APPL, V6, P1

← 1 2 3 →