Results 11 to 20 of about 466 (100)

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

A new generalized refinements of Young's inequality and applications

open access: yesJournal of Mathematical Inequalities, 2021
In this work, by the weighted arithmetic-geometric mean inequality, we show if a,b > 0 and 0 ν 1. Then for all positive integer m, we have ( aν b1−ν )m + r 0 ( (a+b) −2m(ab) 2 ) +rm [( (ab) m 4 −b 2 )2 χ(0, 2 ](ν)+ ( (ab) m 4 −a 2 )2 χ( 2 ,1](ν) ] ( νa ...
M. Ighachane, M. Akkouchi
semanticscholar   +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

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

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

A sharpened version of Aczél inequality by abstract convexity

open access: yesMathematical Inequalities & Applications, 2021
. In this study, the Acz´el inequality is considered and a new simple proof of the inequal- ity is provided. An extension and a sharper version of this inequality are obtained by performing the results based on the optimality conditions of abstract ...
R. Tinaztepe, G. Tinaztepe
semanticscholar   +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

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

Inequalities for the generalized trigonometric and hyperbolic functions

open access: yesOpen Mathematics, 2020
In this paper, the authors present some inequalities of the generalized trigonometric and hyperbolic functions which occur in the solutions of some linear differential equations and physics.
Ma Xiaoyan   +3 more
doaj   +1 more source

Hermite-Hadamard inequalities for uniformly convex functions and its applications in means

open access: yesMiskolc Mathematical Notes, 2020
In this paper, we prove Hermite-Hadamard inequality for uniformly convex, uniformly s-convex functions. Also, we obtain Hermite Hadamard inequality for fractional integral by using these functions.
H. Barsam, A. Sattarzadeh
semanticscholar   +1 more source

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