Results 11 to 20 of about 2,327 (208)

Fractional Hermite-Hadamard inequalities containing generalized Mittag-Leffler function [PDF]

Journal of Inequalities and Applications, 2017
The objective of this paper is to establish some new refinements of fractional Hermite-Hadamard inequalities via a harmonically convex function with a kernel containing the generalized Mittag-Leffler function.
Marcela V Mihai, Muhammad Uzair Awan, Muhammad Aslam Noor, Khalida Inayat Noor   +3 more
doaj   +2 more sources

Hermite-Hadamard Inequalities in Fractional Calculus for Left and Right Harmonically Convex Functions via Interval-Valued Settings

Fractal and Fractional, 2022
The purpose of this study is to define a new class of harmonically convex functions, which is known as left and right harmonically convex interval-valued function (LR-𝓗-convex IV-F), and to establish novel inclusions for a newly defined class of interval-
Muhammad Bilal Khan, Jorge E. Macías-Díaz, Savin Treanțǎ, Mohammed S. Soliman, Hatim Ghazi Zaini   +4 more
doaj   +3 more sources

Novel extensions of k-harmonically convex functions and their applications in information science. [PDF]

PLoS ONE
Convex analysis theory has found extensive applications in optimization, information science, and economics, leading to numerous generalizations of convex functions.
Asfand Fahad, Shigeru Furuichi, Zammad Ali, Yuanheng Wang   +3 more
doaj   +2 more sources

Some New Harmonically Convex Function Type Generalized Fractional Integral Inequalities

Fractal and Fractional, 2021
In this article, we established a new version of generalized fractional Hadamard and Fejér–Hadamard type integral inequalities. A fractional integral operator (FIO) with a non-singular function (multi-index Bessel function) as its kernel and monotone ...
Rana Safdar Ali, Aiman Mukheimer, Thabet Abdeljawad, Shahid Mubeen, Sabila Ali, Gauhar Rahman, Kottakkaran Sooppy Nisar   +6 more
doaj   +3 more sources

Ostrowski type inequalities for harmonically s-convex functions [PDF]

, 2013
The author introduces the concept of harmonically s-convex functions and establishes some Ostrowski type inequalities and Hermite-Hadamard type inequality of these classes of functions.Comment: 11 ...
Iscan, Imdat
core   +3 more sources

Generalized Harmonically Convex Fuzzy-Number-Valued Mappings and Fuzzy Riemann–Liouville Fractional Integral Inequalities

Mathematics, 2023
We propose the concept of up and down harmonically convex mapping for fuzzy-number-valued mapping as our main goal in this work. With the help of up and down harmonically fuzzy-number convexity and the fuzzy fractional integral operator, we also show the
Muhammad Bilal Khan, Aleksandr Rakhmangulov, Najla Aloraini, Muhammad Aslam Noor, Mohamed S. Soliman   +4 more
doaj   +3 more sources

A Generalized Fejér–Hadamard Inequality for Harmonically Convex Functions via Generalized Fractional Integral Operator and Related Results

Mathematics, 2018
In this paper, we obtain a version of the Fejér–Hadamard inequality for harmonically convex functions via generalized fractional integral operator.
Shin Min Kang, Ghulam Abbas, Ghulam Farid, Waqas Nazeer   +3 more
doaj   +3 more sources

Hermite–Hadamard-Type Inequalities for Harmonically Convex Functions via Proportional Caputo-Hybrid Operators with Applications

Fractal and Fractional
In this paper, we aim to establish new inequalities of Hermite–Hadamard (H.H) type for harmonically convex functions using proportional Caputo-Hybrid (P.C.H) fractional operators.
Saad Ihsan Butt, Muhammad Umar, Dawood Khan, Youngsoo Seol, Sanja Tipurić-Spužević   +4 more
doaj   +3 more sources

Harmonically Convex Fuzzy-Interval-Valued Functions and Fuzzy-Interval Riemann–Liouville Fractional Integral Inequalities

International Journal of Computational Intelligence Systems, 2021
It is well known that the concept of convexity establishes strong relationship with integral inequality for single-valued and interval-valued function.
Gul Sana, Muhammad Bilal Khan, Muhammad Aslam Noor, Pshtiwan Othman Mohammed, Yu-Ming Chu   +4 more
doaj   +1 more source

Certain convex harmonic functions [PDF]

International Journal of Mathematics and Mathematical Sciences, 2002
We define and investigate a family of complex‐valued harmonic convex univalent functions related to uniformly convex analytic functions. We obtain coefficient bounds, extreme points, distortion theorems, convolution and convex combinations for this family.
Yong Chan Kim, Jay M. Jahangiri, Jae Ho Choi   +2 more
openaire   +2 more sources