On some new integral inequalities concerning twice differentiable generalized relative semi-(m, h)-preinvex mappings [PDF]
The authors first present some integral inequalities for Gauss-Jacobi type quadrature formula involving generalized relative semi-(m, h)-preinvex mappings.
LIKO, Rozana +2 more
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On Bellman‐Golubov theorems for the Riemann‐Liouville operators
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
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
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
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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
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
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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
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
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
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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
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