New Jensen's bounds for HA-convex mappings with applications to Shannon entropy
The aim of this article is to establish some new extensions and variants of Jensen’s discrete and Simic-type inequalities for HA-convex and uniformly HA-convex functions.
Sayyari Yamin +4 more
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Some new quantum derivatives and integrals with their applications in integral error bounds
Integral inequalities play a crucial role in various areas of numerical analysis, particularly n the development of numerical integration formulas and numerical methods for differential equations.
An Yanrong +4 more
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An extension of Schweitzer's inequality to Riemann-Liouville fractional integral
This note focuses on establishing a fractional version akin to the Schweitzer inequality, specifically tailored to accommodate the left-sided Riemann-Liouville fractional integral operator.
Abdeljawad Thabet +3 more
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Extension of Fejér's inequality to the class of sub-biharmonic functions
Fejér’s integral inequality is a weighted version of the Hermite-Hadamard inequality that holds for the class of convex functions. To derive his inequality, Fejér [Über die Fourierreihen, II, Math. Naturwiss, Anz. Ungar. Akad. Wiss.
Jleli Mohamed
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Notes on three conjectures involving the digamma and generalized digamma functions. [PDF]
Matejíčka L.
europepmc +1 more source
Improved Heinz inequalities via the Jensen functional
Krnić Mario, Pečarić Josip
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Different types of quantum integral inequalities via ( α , m ) -convexity. [PDF]
Zhang Y, Du TS, Wang H, Shen YJ.
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Note on Crystallization for Alternating Particle Chains. [PDF]
Bétermin L, Knüpfer H, Nolte F.
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Weighted version of Hermite-Hadamard type inequalities for geometrically quasi-convex functions and their applications. [PDF]
Obeidat S, Latif MA.
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Hermite-Hadamard inequalities and their applications. [PDF]
Mihai MV +4 more
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