Rayna's fractional integral operations on Hermite-Hadamard inequalities with η-G-Preinvex functions

被引:0
|
作者
Muddassar, Muhammad [1 ]
Dragomir, Sever Silvestru [2 ]
Hussain, Zamir [1 ]
机构
[1] Univ Engn & Technol, Dept Basic Sci, Taxila, Pakistan
[2] Victoria Univ, Sch Engn & Sci, Melbourne, Vic, Australia
关键词
Hermite-Hadamard inequality; k-Fractional integrals; G-Preinvex function; PRE-INVEX FUNCTIONS;
D O I
10.1007/s43036-020-00045-x
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this note, we get solutions focusing on integral inequalities of Hermite-Hadamard type and unusual attached to it, with eta-G-pre invex functions by the way of fractional integral operator selected by Raina R. K.
引用
收藏
页码:1390 / 1405
页数:16
相关论文
共 50 条
  • [1] Hermite-Hadamard Type Fractional Integral Inequalities for Preinvex Functions
    LIAN TIE-YAN
    TANG WEI
    ZHOU RUI
    Ji You-qing
    Communications in Mathematical Research, 2018, 34 (04) : 351 - 362
  • [2] NEW HERMITE-HADAMARD'S INEQUALITIES FOR PREINVEX FUNCTIONS VIA FRACTIONAL INTEGRALS
    Qaisar, Shahid
    Iqbal, Muhammad
    Muddassar, Muhammad
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 20 (07) : 1318 - 1328
  • [3] HERMITE-HADAMARD TYPE LOCAL FRACTIONAL INTEGRAL INEQUALITIES FOR GENERALIZED s-PREINVEX FUNCTIONS AND THEIR GENERALIZATION
    Sun, Wenbing
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021, 29 (04)
  • [4] HERMITE-HADAMARD TYPE INTEGRAL INEQUALITIES FOR HARMONICALLY RELATIVE PREINVEX FUNCTIONS
    Afzal, Sadia
    Hussain, Sabir
    Latif, Muhammad Amer
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2020, 52 (03): : 75 - 97
  • [5] Integral inequalities of Hermite-Hadamard type for functions whose derivatives are α-preinvex
    Wang, Yan
    Zheng, Miao-Miao
    Qi, Feng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [6] Integral inequalities of Hermite-Hadamard type for functions whose derivatives are α-preinvex
    Yan Wang
    Miao-Miao Zheng
    Feng Qi
    Journal of Inequalities and Applications, 2014 (1)
  • [7] FRACTIONAL HERMITE-HADAMARD INEQUALITIES FOR SOME CLASSES OF DIFFERENTIABLE PREINVEX FUNCTIONS
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Mihai, Marcela V.
    Awan, Muhammad Uzair
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2016, 78 (03): : 163 - 174
  • [8] Some integral inequalities of Hermite-Hadamard type for multiplicatively preinvex functions
    Ozcan, Serap
    AIMS MATHEMATICS, 2020, 5 (02): : 1505 - 1518
  • [9] On Hermite-Hadamard Inequalities for h-Preinvex Functions
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Awan, Muhammad Uzair
    Li, Jueyou
    FILOMAT, 2014, 28 (07) : 1463 - 1474
  • [10] HERMITE-HADAMARD TYPE INEQUALITIES FOR PREINVEX FUNCTIONS WITH APPLICATIONS
    Singh, Shiwani
    Mishra, Shashi kant
    Singh, Vandana
    Kumar, Pankaj
    Budak, Huseyin
    KOREAN JOURNAL OF MATHEMATICS, 2025, 33 (01): : 71 - 74