Results 11 to 20 of about 247,781 (292)

A Local Fractional Integral Inequality on Fractal Space Analogous to Anderson’s Inequality

Abstract and Applied Analysis, 2014
Anderson's inequality (Anderson, 1958) as well as its improved version given by Fink (2003) is known to provide interesting examples of integral inequalities.
Wei Wei, H. M. Srivastava, Yunyi Zhang, Lei Wang, Peiyi Shen, Jing Zhang   +5 more
doaj   +2 more sources

New local fractional Hermite-Hadamard-type and Ostrowski-type inequalities with generalized Mittag-Leffler kernel for generalized h-preinvex functions

Demonstratio Mathematica
In this study, based on two new local fractional integral operators involving generalized Mittag-Leffler kernel, Hermite-Hadamard inequality about these two integral operators for generalized hh-preinvex functions is obtained.
Sun Wenbing, Wan Haiyang
doaj   +2 more sources

Singular and Fractional Integral Operators on Weighted Local Morrey Spaces

Journal of Fourier Analysis and Applications, 2022
We obtain a characterization of the weighted inequalities for the Riesz transforms on weighted local Morrey spaces. The condition is sufficient for the boundedness on the same spaces of all Calder n-Zygmund operators suitably defined on the functions of the space.
Javier Duoandikoetxea, Marcel Rosenthal
openaire   +4 more sources

An expanded analysis of local fractional integral inequalities via generalized ( s , P ) $(s,P)$ -convexity

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 ) $(s,P)$ -convex functions. To accomplish this objective, we
Hong Li, Abdelghani Lakhdari, Fahd Jarad, Hongyan Xu, Badreddine Meftah   +4 more
doaj   +2 more sources

Rough Fractional Integral Operators on Local Morrey Spaces

Journal of Physics: Conference Series, 2019
We prove the boundedness of rough fractional integral operator on local Morrey spaces for radial functions. We consider three ways of estimation of the operator to obtain our result.
Daniel Salim, Wono Setya Budhi, Yudi Soeharyadi   +2 more
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Application of Local Fractional Variational Iteration Method for Solving Fredholm integral equations Involving Local Fractional Operators

University of Thi-Qar Journal, 2019
In this paper, the local fractional variational iteration method (LFVIM) is used for solving linear and nonlinear Fredholm integral equations of the second kind within local fractional derivative operators. To illustrate the ability and simplicity of the
H. Jassim, Hussein Khashan Kadhim
openaire   +3 more sources

Super-Exponential Approximation of the Riemann–Liouville Fractional Integral via Gegenbauer-Based Fractional Approximation Methods

Algorithms
This paper introduces a Gegenbauer-based fractional approximation (GBFA) method for high-precision approximation of the left Riemann–Liouville fractional integral (RLFI).
Kareem T. Elgindy
doaj   +2 more sources

A novel numerical approach to solutions of fractional Bagley-Torvik equation fitted with a fractional integral boundary condition

Demonstratio Mathematica
In this work, we present a sophisticated operating algorithm, the reproducing kernel Hilbert space method, to investigate the approximate numerical solutions for a specific class of fractional Begley-Torvik equations (FBTE) equipped with fractional ...
Aljazzazi Mazin, Maayah Banan, Djeddi Nadir, Al-Smadi Mohammed, Momani Shaher   +4 more
doaj   +2 more sources

Generalized Ostrowski type integral inequalities involving generalized moments via local fractional integrals

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdullah Akkurt, Mehmet Zeki Sarikaya, Hüseyin Budak, Hüseyin Yildirim   +3 more
openaire   +3 more sources

Hermite-Hadamard-Fejér Inequalities for Preinvex Functions on Fractal Sets [PDF]

Sahand Communications in Mathematical Analysis, 2023
In this paper, for generalised preinvex functions, new estimates of the Fej\'{e}r-Hermite-Hadamard inequality on fractional sets $\mathbb{R}^{\rho }$ are given in this study.
Sikander Mehmood, Fiza Zafar
doaj   +1 more source