Results 11 to 20 of about 3,545,351 (277)

Power series inequalities via Young’s inequality with applications [PDF]

open access: gold, 2013
In this paper, we establish some inequalities for power series with real coefficients by utilizing Young’s inequality for sequences of complex numbers. Some applications for special functions such as polylogarithm, hypergeometric and Bessel functions are
Alawiah Ibrahim   +2 more
openalex   +2 more sources

An equivalent form of Young's inequality with upper bound [PDF]

open access: yes, 2008
Young's integral inequality is complemented with an upper bound to the remainder. The new inequality turns out to be equivalent to Young's inequality, and the cases in which the equality holds become particularly transparent in the new formulation ...
E. Minguzzi, E. Minguzzi
core   +3 more sources

On some classical integral inequalities in the setting of new post quantum integrals

open access: yesAIMS Mathematics, 2023
In this article, we introduce the notion of $ _{a}{\bar{T}}_{p,q} $-integrals. Using the definition of $ _{a}{\bar{T}}_{p,q} $-integrals, we derive some new post quantum analogues of some classical results of Young's inequality, Hölder's inequality ...
Bandar Bin-Mohsin   +6 more
doaj   +1 more source

Additive Refinements and Reverses of Young's Operator Inequality Via a Result of Cartwright and Field

open access: yesUniversal Journal of Mathematics and Applications, 2021
In this paper we obtain some new additive refinements and reverses of Young's operator inequality via a result of Cartwright and Field. Comparison with other additive Young's type inequalities are also provided.
Sever Dragomır
doaj   +1 more source

Generalizations of Ostrowski type inequalities via F-convexity

open access: yesAIMS Mathematics, 2022
The aim of this article is to give new generalizations of both the Ostrowski's inequality and some of its new variants with the help of the F-convex function class, which is a generalization of the strongly convex functions.
Alper Ekinci   +3 more
doaj   +1 more source

Certain Properties of the Modified Degenerate Gamma Function

open access: yesJournal of Mathematics, 2021
In this paper, we prove some inequalities satisfied by the modified degenerate gamma function which was recently introduced. The tools employed include Holder’s inequality, mean value theorem, Hermite–Hadamard’s inequality, and Young’s inequality.
Kwara Nantomah
doaj   +1 more source

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