Results 1 to 10 of about 288 (30)

Refinements of Some Classical Inequalities Involving Sinc and Hyperbolic Sinc Functions

open access: yesAnnales Mathematicae Silesianae, 2023
Several bounds of trigonometric-exponential and hyperbolic-exponential type for sinc and hyperbolic sinc functions are presented. In an attempt to generalize the results, some known inequalities are sharpened and extended.
Bagul Yogesh J.   +3 more
doaj   +1 more source

Further generalized refinement of Young’s inequalities for τ -mesurable operators

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
In this paper, we prove that if a, b > 0 and 0 ≤ v ≤ 1.
Ighachane Mohamed Amine   +1 more
doaj   +1 more source

Some new parameterized inequalities for co-ordinated convex functions involving generalized fractional integrals

open access: yesOpen Mathematics, 2021
In this study, we first obtain a new identity for generalized fractional integrals which contains some parameters. Then by this equality, we establish some new parameterized inequalities for co-ordinated convex functions involving generalized fractional ...
Kalsoom Humaira   +3 more
doaj   +1 more source

Generalization of Steffensen's inequality for higher order convex function involving extensions of montgomery identities on time scales

open access: yesApplied Mathematics in Science and Engineering, 2023
Generalizations of some Steffensen's inequalities for the class of higher order convex functions are obtained in present study. To prove the results, some preliminary lemmas are established by using extended Montgomery identities via Taylor's formula on ...
Khuram Ali Khan   +4 more
doaj   +1 more source

Constructing analytical estimates of the fuzzy fractional-order Boussinesq model and their application in oceanography

open access: yesJournal of Ocean Engineering and Science, 2023
The main idea of this article is the investigation of atmospheric internal waves, often known as gravity waves. This arises within the ocean rather than at the interface.
Saima Rashid   +3 more
doaj   +1 more source

New generalized fuzzy transform computations for solving fractional partial differential equations arising in oceanography

open access: yesJournal of Ocean Engineering and Science, 2023
This paper presents a study of nonlinear waves in shallow water. The Korteweg-de Vries (KdV) equation has a canonical version based on oceanography theory, the shallow water waves in the oceans, and the internal ion-acoustic waves in plasma.
Saima Rashid   +2 more
doaj   +1 more source

Generalized fractional integral inequalities of Hermite-Hadamard-type for a convex function

open access: yesOpen Mathematics, 2020
The primary objective of this research is to establish the generalized fractional integral inequalities of Hermite-Hadamard-type for MT-convex functions and to explore some new Hermite-Hadamard-type inequalities in a form of Riemann-Liouville fractional ...
Han Jiangfeng   +2 more
doaj   +1 more source

Turán-Type Inequalities for Bessel, Modified Bessel and Kr ̈tzel Functions

open access: yesJournal of Kufa for Mathematics and Computer, 2018
We establish Turán-type inequalities for Bessel functions, modified Bessel functions, Kr ̈tzel function and Beta function, by using a new form of Cauchy–Bunyakovsky–Schwarz inequality.
Piyush Kumar Bhandari, S. K. Bissu
doaj   +1 more source

An extension of the Hermite-Hadamard inequality for a power of a convex function

open access: yesOpen Mathematics, 2023
In this article, we obtain an extension of the classical Hermite-Hadamard inequality for convex functions (concave functions) extending it to the power functions [f(x)]n{[f\left(x)]}^{n}. Some related inequalities are also introduced.
Sayyari Yamin   +3 more
doaj   +1 more source

A new generalization of two refined Young inequalities and applications

open access: yesMoroccan Journal of Pure and Applied Analysis, 2020
In this paper, we prove that if a, b > 0 and 0 ≤ α ≤ 1, then for m = 1, 2, 3, . . . ,
Ighachane M. A., Akkouchi M.
doaj   +1 more source

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