Refinements of Some Recent Inequalities for Certain Special Functions
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 +1 more
doaj +1 more source
Integral Representations of Functional Series with Members Containing Jacobi Polynomials [PDF]
MSC 2010: Primary 33C45, 40A30; Secondary 26D07, 40C10In this article we establish a double definite integral representation, and two other indefinite integral expressions for a functional series and its derivative with members containing Jacobi ...
Jankov, Dragana, Pogany, Tibor K.
core
On Improved Simpson‐Type Inequalities via Convexity and Generalized Fractional Operators
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 +4 more
wiley +1 more source
Enhanced Young-type inequalities utilizing Kantorovich approach for semidefinite matrices
This article introduces new Young-type inequalities, leveraging the Kantorovich constant, by refining the original inequality. In addition, we present a range of norm-based inequalities applicable to positive semidefinite matrices, such as the Hilbert ...
Bani-Ahmad Feras +1 more
doaj +1 more source
On Jordan's, Redheffer's and Wilker's inequality
In this paper, the authors offer new Jordan, Redheffer and Wilker type inequalities, along with refinements and converses. Connections with Euler’s gamma function are pointed out, too. Mathematics subject classification (2010): 26D05, 26D07, 26D99.
B. A. Bhayo, J. Sándor
semanticscholar +1 more source
Fractional Ostrowski type inequalities for functions of bounded variaton with two variables
We first establish some fractional equalities for functions of bounded variation with two variables. Then we derive some fractional Ostrowski and Trapezoid type inequalities for functions of bounded variation with two variables. In addition, we give some
S. Erden, H. Budak, M. Sarıkaya
semanticscholar +1 more source
Some Hermite–Hadamard Type Inequality for the Operator p,P‐Preinvex Function
The goal of the article is to introduce the operator p,P‐preinvex function and present several features of this function. Also, we establish some Hermite–Hadamard type inequalities for this function.
Mahsa Latifi Moghadam +3 more
wiley +1 more source
Simpson, midpoint, and trapezoid-type inequalities for multiplicatively s-convex functions
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
A Sharp Double Inequality for the Inverse Tangent Function [PDF]
The inverse tangent function can be bounded by different inequalities, for example by Shafer's inequality. In this publication, we propose a new sharp double inequality, consisting of a lower and an upper bound, for the inverse tangent function.
Alirezaei, Gholamreza
core +1 more source
Improved arithmetic-geometric mean inequality and its application
In this short note, we present a refinement of the well-known arithmetic-geometric mean inequality. As application of our result, we obtain an operator inequality. Mathematics subject classification (2010): 46A73, 26D07, 26D15.
L. Zou, Youyi Jiang
semanticscholar +1 more source

