Results 61 to 70 of about 89,971 (321)

Error Bounds for Fractional Integral Inequalities with Applications

Fractal and Fractional
Fractional calculus has been a concept used to obtain new variants of some well-known integral inequalities. In this study, our main goal is to establish the new fractional Hermite–Hadamard, and Simpson’s type estimates by employing a differentiable ...
N. A. Alqahtani, S. Qaisar, A. Munir, Muhammad Naeem, H. Budak   +4 more
semanticscholar   +1 more source

Inequalities for generalized Riemann–Liouville fractional integrals of generalized strongly convex functions

Advances in Difference Equations, 2021
Some new integral inequalities for strongly ( α , h − m ) $(\alpha ,h-m)$ -convex functions via generalized Riemann–Liouville fractional integrals are established.
Ghulam Farid, Young Chel Kwun, Hafsa Yasmeen, Abdullah Akkurt, Shin Min Kang   +4 more
doaj   +1 more source

An expanded analysis of local fractional integral inequalities via generalized (s,P)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \beg

Journal of Inequalities and Applications
This research aims to scrutinize specific parametrized integral inequalities linked to 1, 2, 3, and 4-point Newton-Cotes rules applicable to local fractional differentiable generalized (s,P)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage ...
Hong Li, Abdelghani Lakhdari, F. Jarad, Hongyan Xu, B. Meftah   +4 more
semanticscholar   +1 more source

New generalized Riemann-Liouville fractional integral inequalities for convex functions

Journal of Mathematical Inequalities, 2021
. In the literature, the right-side of Hermite–Hadamard’s inequality is called trapezoid type inequality. In this paper, we obtain new integral inequalities of trapezoid type for convex functions involving generalized Riemann–Liouville fractional ...
P. Mohammed
semanticscholar   +1 more source

(k, ψ)-Proportional Fractional Integral Pólya–Szegö- and Grüss-Type Inequalities

Fractal and Fractional, 2021
The purpose of this research was to discover a novel method to recover k-fractional integral inequalities of the Pólya–Szegö-type. We employ these generalized inequalities to investigate some new fractional integral inequalities of the Grüss-type.
Tariq A. Aljaaidi, Deepak B. Pachpatte, Mohammed S. Abdo, Thongchai Botmart, Hijaz Ahmad, Mohammed A. Almalahi, Saleh S. Redhwan   +6 more
doaj   +1 more source

New generalization fractional inequalities of Ostrowski-Gr\"uss type

, 2012
In this paper, we use the Riemann-Liouville fractional integrals to establish some new integral inequalities of Ostrowski-Gr\"uss type.
Sarikaya, Mehmet Zeki, Yaldiz, Hatice
core   +1 more source

On Weighted Fractional Integral Inequalities

Journal of Functional Analysis, 2001
The author studies weighted positivity of a fractional power \((-\Delta)^\lambda\) of the Laplace operator, the weight function being the fundamental solution of this fractional power. Let \[ f(n,\lambda)=\psi\left(\frac{n}{2}\right)-\psi\left(\frac{n}{2}-\lambda\right)- \psi(\lambda) +\psi(1).
openaire   +2 more sources

New Inequalities for Local Fractional Integrals

Iranian Journal of Science and Technology, Transactions A: Science, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Budak, Hüseyin, Sarıkaya, Mehmet Zeki, Yıldırım, Hüseyin   +2 more
openaire   +2 more sources

Some Fractional Integral Inequalities for a Generalized Class of Nonconvex Functions

Journal of Mathematics, 2022
Fractional integral inequalities help to solve many difference equations. In this paper, we present some fractional integral inequalities for generalized harmonic nonconvex functions. Moreover, we also present applications of developed inequalities.
Yeliang Xiao, Muhammad Shoaib Saleem, Faiza Batool   +2 more
doaj   +1 more source

The Fractional Integral Inequalities Involving Kober and Saigo–Maeda Operators

Communications in Advanced Mathematical Sciences, 2023
This work uses the Marichev-Saigo-Maeda (MSM) fractional integral operator to achieve certain special fractional integral inequalities for synchronous functions.
Deepak Kumar Jain, Farooq Ahmad, Rajshree Mıshra, Kalpana Rajput, Altaf Ahmad Bhat   +4 more
doaj   +1 more source