Results 21 to 30 of about 87 (80)
Върху някои неравенства за полиноми с реални нули
, 2022 [Nikolov Geno; Николов Гено]We review certain inequalities satisfied by real-root polynomials, which are a refinement of the Jensen inequalities for functions from the Laguerre–Polya class.
Nikolov, Geno
core
, 2018 In this paper we generalize some Riemann-Liouville fractional integral inequalities of Ostrowski-type for h-convex functions via Katugampola fractional integrals, generalizations of the Riemann-Liouville and the Hadamard fractional integrals.
KATUGAMPOLA, Udita N. +2 more
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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
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.
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New Bounds on Hermite–Hadamard–Mercer‐Type Inequalities: Applications and Computational Analysis
Journal of Mathematics, Volume 2026, Issue 1, 2026.In mathematical analysis, the theory of inequalities plays a fundamental role due to its wide‐ranging applications in various fields of the physical sciences. In this paper, we develop new Hermite–Hadamard–Mercer‐type inequalities involving a broad class of fractional integral operators, including both classical and Caputo–Fabrizio fractional integrals.
Muhammad Muawwaz +5 more
wiley +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
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On Restricted Detour Median of Special Graphs
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.The restricted detour distance between two vertices is the length of longest path P such that the induced subgraph for a vertex set of P is identical P. The number of restricted detour distance of a vertex v of a connected graph Ǥ is a summation of restricted detour distances from v to all vertices of Ǥ.
Rasha S. Hasan +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
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 +4 more
wiley +1 more source
Jensen-Type Inequalities for Divided Differences via Generalized Convex Functions
Annales Mathematicae SilesianaeIn this paper, we use (m+4)-convex functions to derive an estimate for Jensen’s inequality in the context of divided differences. In addition, we extend these results for (h, g; α − n)-convex functions.
Aras-Gazić Gorana +2 more
doaj +1 more source