Integral Representations of Functional Series with Members Containing Jacobi Polynomials [PDF]
, 2012 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
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
Improved arithmetic-geometric mean inequality and its application
, 2015 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
Fractional Ostrowski type inequalities for functions of bounded variaton with two variables
Miskolc Mathematical Notes, 2020 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
Journal of Mathematics, Volume 2025, Issue 1, 2025.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
Enhanced Young-type inequalities utilizing Kantorovich approach for semidefinite matrices
Open MathematicsThis 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
Inequalities Involving the Derivative of Rational Functions With Prescribed Poles
Journal of Applied Mathematics, Volume 2024, Issue 1, 2024.This paper gives an upper bound of a modulus of the derivative of rational functions. rz=z−z0shz/wz∈Rm,n, where r(z) has exactly n poles a1, a2, ⋯, an and all the zeros of r(z) lie in Dk∪Dk+,k ≥ 1 except the zeros of order s at z0, |z0| < k. Moreover, we give an upper bound of a modulus of the derivative of rational functions.
Preeti Gupta, Chong Lin
wiley +1 more source
A Sharp Double Inequality for the Inverse Tangent Function [PDF]
, 2013 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
Monotonicity and logarithmic convexity relating to the volume of the unit ball
, 2010 Let $\Omega_n$ stand for the volume of the unit ball in $\mathbb{R}^n$ for $n\in\mathbb{N}$. In the present paper, we prove that the sequence $\Omega_{n}^{1/(n\ln n)}$ is logarithmically convex and that the sequence $\frac{\Omega_{n}^{1/(n\ln n ...
B.-N. Guo +18 more
core +1 more source
Simpson, midpoint, and trapezoid-type inequalities for multiplicatively s-convex functions
Demonstratio MathematicaIn 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