Analytical inequalities in fractional calculus

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Analytical inequalities in fractional calculus

Popis výsledku v původním jazyce

The main motivation for writing this book is to present some aspects of generalisations, refinements, and variants of famous Hardy, Opial and related inequalities involving kernels. Namely, integral operators with general non-negative kernel on measure spaces with positive $sigma$-finite measure are considered and some new weighted Hardy type inequalities for convex functions and refinements of weighted Hardy type inequalities for super-quadratic functions are obtained. Particularly we have consider Riemann Liouville fractional integral, Hilfer fractional derivative, fractional integral operator which contains generalized Mittag-Leffler functions in the kernel, generalized fractional integral operator with Gauss hypergeometric function, Widder derivative and linear differential operator. Moreover, some refinements of weighted Hardy and Opial type inequalities for convex functions and new refinements of discrete Hardy type inequalities are presented.

Název v anglickém jazyce

Analytical inequalities in fractional calculus

Popis výsledku anglicky

The main motivation for writing this book is to present some aspects of generalisations, refinements, and variants of famous Hardy, Opial and related inequalities involving kernels. Namely, integral operators with general non-negative kernel on measure spaces with positive $sigma$-finite measure are considered and some new weighted Hardy type inequalities for convex functions and refinements of weighted Hardy type inequalities for super-quadratic functions are obtained. Particularly we have consider Riemann Liouville fractional integral, Hilfer fractional derivative, fractional integral operator which contains generalized Mittag-Leffler functions in the kernel, generalized fractional integral operator with Gauss hypergeometric function, Widder derivative and linear differential operator. Moreover, some refinements of weighted Hardy and Opial type inequalities for convex functions and new refinements of discrete Hardy type inequalities are presented.

Druh

B - Odborná kniha

CEP obor

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OECD FORD obor

10101 - Pure mathematics

Projekt

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Návaznosti

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Rok uplatnění

2020

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

ISBN

978-620-0-48242-6

Počet stran knihy

316

Název nakladatele

LAMBERT Academic Publishing

Místo vydání

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Kód UT WoS knihy

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