Results 11 to 20 of about 46 (46)

Inequalities for the generalized trigonometric and hyperbolic functions

Open 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, Si Xiangbin, Zhong Genhong, He Jianhui   +3 more
doaj   +1 more source

Are There Any Natural Physical Interpretations for Some Elementary Inequalities?

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
We inquire whether there are some fundamental interpretations of elementary inequalities in terms of curvature of a three-dimensional smooth hypersurface in the four-dimensional real ambient space.
Bosko Wladimir G., Suceavă Bogdan D.
doaj   +1 more source

On boundedness and compactness of a certain class of kernel operators

Journal of Function Spaces, Volume 9, Issue 1, Page 67-107, 2011., 2011
New conditions for Lp[0, ∞) − Lq[0, ∞) boundedness and compactness (1 < p, q < ∞) of the map f→w(x)∫a(x)b(x)k(x,y)f(y)v(y)dy with locally integrable weight functions v, w and a positive continuous kernel k(x, y) from the Oinarov’s class are obtained.
Elena P. Ushakova, Oleg V. Besov
wiley   +1 more source

On further refinements for Young inequalities

Open Mathematics, 2018
In this paper sharp results on operator Young’s inequality are obtained. We first obtain sharp multiplicative refinements and reverses for the operator Young’s inequality.
Furuichi Shigeru, Moradi Hamid Reza
doaj   +1 more source

On Bellman‐Golubov theorems for the Riemann‐Liouville operators

Journal of Function Spaces, Volume 7, Issue 3, Page 289-300, 2009., 2009
Superposition of Fourier transform with the Riemann ‐ Liouville operators is studied.
Pham Tien Zung, Victor Burenkov
wiley   +1 more source

Generalizations of Hölder′s inequality

International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 1, Page 7-10, 2001., 2001
Some generalized Hölder′s inequalities for positive as well as negative exponents are obtained.
Wing-Sum Cheung
wiley   +1 more source

Extension of complete monotonicity results involving the digamma function

Moroccan Journal of Pure and Applied Analysis, 2018
By using some analytical techniques, we prove a complete monotonicity property of a certain function involving the (p, k)-digamma function. Subsequently, we derive some inequalities for the (p, k)- digamma function.
Nantomah Kwara
doaj   +1 more source

Refinements of Some Recent Inequalities for Certain Special Functions

Annales Mathematicae Silesianae, 2019
The aim of this paper is to give some refinements to several inequalities, recently etablished, by P.K. Bhandari and S.K. Bissu in [Inequalities via Hölder’s inequality, Scholars Journal of Research in Mathematics and Computer Science, 2 (2018), no.
Akkouchi Mohamed, Ighachane Mohamed Amine   +1 more
doaj   +1 more source

On Improved Simpson‐Type Inequalities via Convexity and Generalized Fractional Operators

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this work, we develop novel Simpson‐type inequalities for mappings with convex properties by employing operators for tempered fractional integrals. These findings expand upon and refine classical results, including those linked to Riemann–Liouville fractional integrals.
Areej A. Almoneef, Abd-Allah Hyder, Fatih Hezenci, Hüseyin Budak, Pramita Mishra   +4 more
wiley   +1 more source

Simpson, midpoint, and trapezoid-type inequalities for multiplicatively s-convex functions

Demonstratio Mathematica
In this study, we establish new generalizations and results for Simpson, midpoint, and trapezoid-type integral inequalities within the framework of multiplicative calculus. We begin by proving a new identity for multiplicatively differentiable functions.
Özcan Serap
doaj   +1 more source