Results 11 to 20 of about 93,896 (272)
Mathematics, 2018 In this paper, we obtain a version of the Fejér–Hadamard inequality for harmonically convex functions via generalized fractional integral operator.
Shin Min Kang +3 more
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New Investigation on the Generalized K-Fractional Integral Operators
Frontiers in Physics, 2020 The main objective of this paper is to develop a novel framework to study a new fractional operator depending on a parameter K > 0, known as the generalized K-fractional integral operator.
Saima Rashid +4 more
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A study of incomplete I-functions relating to certain fractional integral operators
Applied Mathematics in Science and Engineering, 2023 The study discussed in this article is driven by the realization that many physical processes may be understood by using applications of fractional operators and special functions. In this study, we present and examine a fractional integral operator with
S. Bhatter +4 more
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Unified treatment of fractional integral inequalities via linear functionals [PDF]
, 2016 In the paper we prove several inequalities involving two isotonic linear functionals. We consider inequalities for functions with variable bounds, for Lipschitz and H\" older type functions etc.
Bombardelli, Mea +2 more
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New Fractional Integral Inequalities via k-Atangana–Baleanu Fractional Integral Operators
Fractal and Fractional, 2023 We propose the definitions of some fractional integral operators called k-Atangana–Baleanu fractional integral operators. These newly proposed operators are generalizations of the well-known Atangana–Baleanu fractional integral operators. As an application, we establish a generalization of the Hermite–Hadamard inequality.
Seth Kermausuor, Eze R. Nwaeze
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Generalized proportional fractional integral functional bounds in Minkowski’s inequalities
Advances in Difference Equations, 2021 In this research paper, we improve some fractional integral inequalities of Minkowski-type. Precisely, we use a proportional fractional integral operator with respect to another strictly increasing continuous function ψ.
Tariq A. Aljaaidi +4 more
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Fractal and Fractional, 2023 The fractional Laplacian operator is a very important fractional operator that is often used to describe several anomalous diffusion phenomena. In this paper, we develop some numerical schemes, including a finite difference scheme and finite volume ...
Junjie Wang, Shoucheng Yuan, Xiao Liu
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Boundedness of fractional operators in weighted variable exponent spaces with non doubling measures [PDF]
, 2009 In the context of variable exponent Lebesgue spaces equipped with a lower Ahlfors measure we obtain weighted norm inequalities over bounded domains for the centered fractional maximal function and the fractional integral ...
Gorosito, Osvaldo +2 more
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Bilinear Fractional Integral Operators
, 2020 We study the bilinear fractional integral considered by Kenig and Stein, where linear combinations of variables with matrix coefficients are involved. Under more general settings, we give a complete characterization of the corresponding parameters for which the bilinear fractional integral is bounded from $L^{p_1}(\mathbb R^{n_1}) \times L^{p_2 ...
Chen, Ting, Sun, Wenchang
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Fractional Integral Inequalities concerning Extended Bessel Function in the Kernel
Journal of Mathematics, 2021 The major purpose of this paper is to use the fractional integral operator in terms of extended generalized Bessel function to estimate new fractional integral inequalities for the extended Chebyshev functional in the sense of synchronous functions.
Arshad Hussain +4 more
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