Results 241 to 250 of about 74,030 (274)

Commutators with fractional integral operators

Studia Mathematica, 2016
Let \(\alpha\in(0,n)\). For a Schwartz function \(f\) on \(\mathbb{R}^n\), the fractional integral of \(f\) is defined, for any \(x\in\mathbb{R}^n\), by \[ I_\alpha(f)(x):=\int_{\mathbb{R}^n}\frac{f(y)}{|x-y|^{n-\alpha}}\,dy. \] Let \(p,\,q\in(1,\infty)\) and \(p':=p/(p-1)\). Then a function \(w\) on \(\mathbb{R}^n\) is said to belong to the \(A_{p,q}(\
Holmes, Irina, Rahm, Robert, Spencer, Scott   +2 more
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Weighted Inequalities for the Fractional Maximal Operator and the Fractional Integral Operator

Zeitschrift für Analysis und ihre Anwendungen, 1996
A sufficient condition is given on weight functions u and v on \mathbb R^n for ...
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On Certain Integral Operators of Fractional Type

Acta Mathematica Hungarica, 1999
The authors study integral operators with special fractional kernel. The boundedness of fractional integral operators is proved. To the proof the generalized Minkowski inequality and the Marcinkiewicz interpolation theorem are used.
Godoy, T., Urciuolo, M.
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Fractional Integrative Operator and Its FPGA Implementation

Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C, 2009
In this paper the fractional order integrative operator s−m, where m is a real positive number, is approximated via a mathematical formula and then an hardware implementation of fractional integral operator is proposed using Field Programmable Gate Array (FPGA).
CAPONETTO, Riccardo, G. DONGOLA, GALLO, Antonio   +2 more
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New Fractional Inequalities Involving Saigo Fractional Integral Operator

Mathematical Sciences Letters, 2014
The aim of this paper is to obtain some new results related to Minkowski fractional integral inequality and other integra l inequalities using Saigo fractional integral .
Vaijanath L. Chinchane, Deepak B. Pachpatte   +1 more
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Fractional powers of operators and Riesz fractional integrals

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1989
SynopsisIn this paper, a theory of fractional powers of operators due to Balakrishnan, which is valid for certain operators on Banach spaces, is extended to Fréchet spaces. The resultingtheory is shown to be more general than that developed in an earlier approach by Lamb, and is applied to obtain mapping properties of certain Riesz fractional integral ...
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Fractional Newton‐type integral inequalities for the Caputo fractional operator

Mathematical Methods in the Applied Sciences
In this paper, we present a set of Newton‐type inequalities for n‐times differentiable convex functions using the Caputo fractional operator, extending classical results into the fractional calculus domain. Our exploration also includes the derivation of Newton‐type inequalities for various classes of functions by employing the Caputo fractional ...
Yukti Mahajan, Harish Nagar
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Some integral inequalities involving Saigo fractional integral operators

Journal of Interdisciplinary Mathematics, 2018
In this paper, the Saigo fractional integral operator is used to generate some new integral inequalities.
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Some Multiplicity Results for Integration and Fractional Integration Operators

Journal of Fourier Analysis and Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An overview of real‐world data sources for oncology and considerations for research

Ca-A Cancer Journal for Clinicians, 2022
Lynne Penberthy, Donna R Rivera, Jennifer L Lund, Msph   +2 more
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