Results 21 to 30 of about 1,744 (255)

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 Calderón-Zygmund operators suitably defined on the functions of the space.
Javier Duoandikoetxea, Marcel Rosenthal
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Corrected Dual-Simpson-Type Inequalities for Differentiable Generalized Convex Functions on Fractal Set

Fractal and Fractional, 2022
The present paper provides several corrected dual-Simpson-type inequalities for functions whose local fractional derivatives are generalized convex. To that end, we derive a new local fractional integral identity as an auxiliary result.
Abdelghani Lakhdari, Wedad Saleh, Badreddine Meftah, Akhlad Iqbal   +3 more
doaj   +1 more source

About fractional integrals in the space of locally integrable functions

Journal of Mathematical Analysis and Applications, 1992
The authors show that the largest ``natural'' function space, where the Riemann-Liouville fractional integral operator \[ J^ \alpha f(x)={1\over{\Gamma(\alpha)}} \int_ 0^ x (x-t)^{\alpha-1} f(t)dt \] and differential operator \[ D^ \alpha f(x)={1 \over{\Gamma(1-\alpha)}} {d \over dx} \int_ 0^ x (x-t)^{-\alpha} f(t)dt ...
Martinez, Celso, Sanz, Miguel, Martinez, Ma Dolores   +2 more
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Nonlocal Probability Theory: General Fractional Calculus Approach

Mathematics, 2022
Nonlocal generalization of the standard (classical) probability theory of a continuous distribution on a positive semi-axis is proposed. An approach to the formulation of a nonlocal generalization of the standard probability theory based on the use of ...
Vasily E. Tarasov
doaj   +1 more source

Generalized Fractional Integral Operators on Generalized Local Morrey Spaces [PDF]

Journal of Function Spaces, 2015
We study the continuity properties of the generalized fractional integral operatorIρon the generalized local Morrey spacesLMp,φ{x0}and generalized Morrey spacesMp,φ. We find conditions on the triple(φ1,φ2,ρ)which ensure the Spanne-type boundedness ofIρfrom one generalized local Morrey spaceLMp,φ1{x0}to anotherLMq,φ2{x0},1<p<q<∞, and fromLM1,φ1{
Guliyev, V. S., Ismayilova, A. F., Kucukaslan, A., Serbetci, A.   +3 more
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Certain Hadamard Proportional Fractional Integral Inequalities

Mathematics, 2020
In this present paper we study the non-local Hadmard proportional integrals recently proposed by Rahman et al. (Advances in Difference Equations, (2019) 2019:454) which containing exponential functions in their kernels.
Gauhar Rahman, Kottakkaran Sooppy Nisar, Thabet Abdeljawad   +2 more
doaj   +1 more source

New Approaches to Fractal–Fractional Bullen’s Inequalities Through Generalized Convexity

Fractal and Fractional
This paper introduces a new identity involving fractal–fractional integrals, which allow us to derive several new Bullen-type inequalities via generalized convexity.
Wedad Saleh, Hamid Boulares, Abdelkader Moumen, Hussien Albala, Badreddine Meftah   +4 more
doaj   +1 more source

Some Generalized Steffensen’s Inequalities via a New Identity for Local Fractional Integrals

International Journal of Analysis and Applications, 2017
In this study, we first give an identity for local fractional integrals. We then make use of this identity in order to derive several generalizations of the celebrated Steffensen’s inequality associated with local fractional integrals.
Tuba Tunç, Mehmet Zeki Sarıkaya, H. M. Srivastava   +2 more
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Local Truncation Error of Low-Order Fractional Variational Integrators [PDF]

, 2019
We study the local truncation error of the so-called fractional variational integrators, recently developed in [1, 2] based on previous work by Riewe and Cresson [3, 4]. These integrators are obtained through two main elements: the enlarging of the usual mechanical Lagrangian state space by the introduction of the fractional derivatives of the ...
Jiménez, F, Ober-Blöbaum, S
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Certain Analytic Formulas Linked to Locally Fractional Differential and Integral Operators

Journal of Function Spaces, 2022
The present investigation is aimed at defining different classes of analytic functions and conformable differential operators in view of the concept of locally fractional differential and integral operators. We present a novel generalized class of analytic functions, which we call it locally fractional analytic functions in the open unit disk.
Ibtisam Aldawish, Rabha W. Ibrahim
openaire   +3 more sources