Some new inequalities of Hermite-Hadamard type via Katugampola fractional integral

被引：1

作者：

Butt, Saad Ihsan ^{[1
]}

Bayraktar, Bahtiyar ^{[2
]}

Valdes, Juan E. Napoles ^{[3
,4
]}

机构：

[1] COMSATS Univ Islamabad, Lahore Campus, Lahore, Pakistan

[2] Bursa Uludag Univ, Gorukle Campus, Bursa, Turkiye

[3] UNNE, FaCENA, Ave Libertad 5450, RA-3400 Corrientes, Argentina

[4] UTN FRRE, French 414, RA-3500 Resistencia, Chaco, Argentina

来源：

PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS | 2023年 / 55卷 / 7-8期

关键词：

Hermite-Hadamard inequality; F-convex function; Young inequality; Holder's inequality; power mean inequality; Katugampola fractional integral; CONVEX-FUNCTIONS; DERIVATIVES;

D O I：

10.52280/pujm.2023.55(7-8)02

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, we present the midpoint and trapezoid inequalities for an F-convex function in terms of Katugampola fractional integral operators. We obtained new results involving Katugampola-fractional integral operators for differentiable mapping Phi whose second derivatives in the absolute values are F-convex. Also established connections between our results with several renowned results in literature. Results proved in this paper may stimulate further research in this area.

引用

页码：269 / 290

页数：22

共 50 条

[31] On Some New Extensions of Inequalities of Hermite-Hadamard Type for Generalized Fractional Integrals
Budak, Huseyin
Bilisik, Candan Can
Sarikaya, Mehmet Zeki
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2022, 19 (02): : 65 - 79
[32] On Hermite-Hadamard type inequalities via generalized fractional integrals
Jleli, Mohamed
O'Regan, Donal
Samet, Bessem
TURKISH JOURNAL OF MATHEMATICS, 2016, 40 (06) : 1221 - 1230
[33] New Hermite-Hadamard type integral inequalities for convex functions and their applications
Mehrez, Khaled
Agarwal, Praveen
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 350 : 274 - 285
[34] Some New Hermite-Hadamard Type Inequalities Pertaining to Fractional Integrals with an Exponential Kernel for Subadditive Functions
Kashuri, Artion
Sahoo, Soubhagya Kumar
Mohammed, Pshtiwan Othman
Al-Sarairah, Eman
Hamed, Y. S.
SYMMETRY-BASEL, 2023, 15 (03):
[35] ON HERMITE-HADAMARD TYPE INEQUALITIES FOR MULTIPLICATIVE FRACTIONAL INTEGRALS
Budak, H.
Ozcelik, K.
MISKOLC MATHEMATICAL NOTES, 2020, 21 (01) : 91 - 99
[36] Some New Inequalities of Hermite-Hadamard's Type
Saglam, Aziz
Yildirim, Huseyin
Sarikaya, Mehmet Zeki
KYUNGPOOK MATHEMATICAL JOURNAL, 2010, 50 (03): : 399 - 410
[37] Some new generalized κ-fractional Hermite-Hadamard-Mercer type integral inequalities and their applications
Vivas-Cortez, Miguel
Awan, Muhammad Uzair
Javed, Muhammad Zakria
Kashuri, Artion
Noor, Muhammad Aslam
Noor, Khalida Inayat
AIMS MATHEMATICS, 2021, 7 (02): : 3203 - 3220
[38] Sharp integral inequalities of the Hermite-Hadamard type
Guessab, A
Schmeisser, G
JOURNAL OF APPROXIMATION THEORY, 2002, 115 (02) : 260 - 288
[39] New integral inequalities of Hermite-Hadamard type in a generalized context
Napoles Valdes, Juan Eduardo
Bayraktar, Bahtiyar
Butt, Saad Ihsan
PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2021, 53 (11): : 765 - 777
[40] NEW HERMITE-HADAMARD TYPE INEQUALITIES FOR k-β-CONVEX FUNCTIONS VIA GENERALIZED k-FRACTIONAL CONFORMABLE INTEGRAL OPERATORS
Lakhal, Fahim
Badreddine, Meftah
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2022, 37 (03): : 559 - 584

← 1 2 3 4 5 →