Results 21 to 30 of about 1,581 (158)
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
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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)
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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 +3 more
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On generalized some integral inequalities for local fractional integrals
Applied Mathematics and Computation, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sarıkaya, Mehmet Zeki +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
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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 +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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New Approaches to Fractal–Fractional Bullen’s Inequalities Through Generalized Convexity
Fractal and FractionalThis paper introduces a new identity involving fractal–fractional integrals, which allow us to derive several new Bullen-type inequalities via generalized convexity.
Wedad Saleh +4 more
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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 +2 more
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A Class of Quasilinear Equations with Distributed Gerasimov–Caputo Derivatives
Mathematics, 2023 Quasilinear equations in Banach spaces with distributed Gerasimov–Caputo fractional derivatives, which are defined by the Riemann–Stieltjes integrals, and with a linear closed operator A, are studied.
Vladimir E. Fedorov, Nikolay V. Filin
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