Results 11 to 20 of about 5,236 (261)
Advances in Difference Equations, 2020 The primary objective of this present paper is to establish certain new weighted fractional Pólya–Szegö and Chebyshev type integral inequalities by employing the generalized weighted fractional integral involving another function Ψ in the kernel.
Kottakkaran Sooppy Nisar +4 more
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More General Weighted-Type Fractional Integral Inequalities via Chebyshev Functionals
Fractal and Fractional, 2021 The purpose of this research paper is first to propose the generalized weighted-type fractional integrals. Then, we investigate some novel inequalities for a class of differentiable functions related to Chebyshev’s functionals by utilizing the proposed ...
Gauhar Rahman +4 more
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Borderline Weighted Estimates for Commutators of Fractional Integrals
Analysis in Theory and Applications, 2022 Let $I_{\alpha,\vec{b}}$ be the multilinear commutators of the fractional integrals $I_{\alpha}$ with the symbol $\vec{b}=(b_1, \cdots,b_k )$. We show that the constant of borderline weighted estimates for $I_{\alpha}$ is $\frac{1}{{\varepsilon}}$, and for $I_{\alpha,{\vec{b}}}$ is $\frac{1}{{\varepsilon}^{k+1}}$ with each $b_i$ belongs to the Orlicz
Wang, Zhidan +2 more
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Certain Weighted Fractional Inequalities via the Caputo–Fabrizio Approach
Fractal and Fractional, 2022 The Caputo–Fabrizio fractional integral operator is one of the important notions of fractional calculus. It is involved in numerous illustrative and practical issues. The main goal of this paper is to investigate weighted fractional integral inequalities
Vaijanath L. Chinchane +3 more
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Weighted norm inequalities for singular and fractional integrals [PDF]
Transactions of the American Mathematical Society, 1971 Inequalities of the form ‖ | x | α T
Muckenhoupt, Benjamin +1 more
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On weighted Atangana–Baleanu fractional operators
Advances in Difference Equations, 2020 In this paper, we define the weighted Atangana–Baleanu fractional operators of Caputo sense. We obtain the solution of a related linear fractional differential equation in a closed form, and use the result to define the weighted Atangana–Baleanu ...
Mohammed Al-Refai
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Weighted endpoint estimates for commutators of fractional integrals [PDF]
Czechoslovak Mathematical Journal, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D. CRUZ URIBE, FIORENZA, ALBERTO
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Rough Multilinear Fractional Integrals on Weighted Morrey Spaces [PDF]
Journal of Function Spaces, 2015 It is showed that a class of multilinear fractional operators with rough kernels, which are similar to the higher-order commutators for the rough fractional integrals, are bounded on the weighted Morrey spaces.
Xiao Li, Runqing Cui
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Weighted Norm Inequalities for Fractional Integrals [PDF]
Proceedings of the American Mathematical Society, 1975 A simpler proof of an inequality of Muckenhoupt and Wheeden is given. Let T α f ( x ) = ∫ f ( y ) | x − y | α
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International Journal of Mathematics and Mathematical Sciences, 2022 In order to be able to study cosmic phenomena more accurately and broadly, it was necessary to expand the concept of calculus. In this study, we aim to introduce a new fractional Hermite–Hadamard–Mercer’s inequality and its fractional integral type ...
Tariq A. Aljaaidi, Deepak B. Pachpatte
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