Results 31 to 40 of about 49,276 (273)

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
openaire   +3 more sources

General Fractional Noether Theorem and Non-Holonomic Action Principle

Mathematics, 2023
Using general fractional calculus (GFC) of the Luchko form and non-holonomic variational equations of Sedov type, generalizations of the standard action principle and first Noether theorem are proposed and proved for non-local (general fractional) non ...
Vasily E. Tarasov
doaj   +1 more source

局部分数阶积分下关于广义调和s-凸函数的Ostrowski型不等式(Ostrowski type inequalities for generalized harmonically s-convex functions via local fractional integrals)

Zhejiang Daxue xuebao. Lixue ban, 2018
Based on the theory of local fractional calculus on fractal sets,the author established an identity involving local fractional integrals. Using the identity, some generalized Ostrowski type inequalities for generalized harmonically s-convex functions ...
SUNWenbing(孙文兵)
doaj   +1 more source

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
openaire   +1 more source

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

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

Regularization for effective field theory with two heavy particles [PDF]

, 2000
A regularization for effective field theory with two propagating heavy particles is constructed. This regularization preserves the low-energy analytic structure, implements a low-energy power counting for the one-loop diagrams, and preserves symmetries ...
Becher, Bernard, Bjorken, D. Lehmann, Eden, Eichten, Ellis, G. Prézeau, Gasser, Gasser, Gasser, Georgi, Grinstein, Itzykson, J. Saez, J.L. Goity, Jenkins, Weinberg, Weinberg   +18 more
core   +3 more sources

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

Electromagnetic field of fractal distribution of charged particles [PDF]

, 2006
Electric and magnetic fields of fractal distribution of charged particles are considered. The fractional integrals are used to describe fractal distribution. The fractional integrals are considered as approximations of integrals on fractals.
Christensen R. M., Le Mehaute A., Lutzen J., Samko S. G., Vasily E. Tarasov, Zaslavsky G. M.   +5 more
core   +2 more sources