RETRACTED ARTICLE: Generalization of the Levinson inequality with applications to information theory
In the presented paper, Levinson’s inequality for 3-convex function is generalized by using two Green’s functions. Čebyšev, Grüss, and Ostrowski-type new bounds are found for the functionals involving data points of two types.
Muhammad Adeel +3 more
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Quantum Estimates for Different Type Intequalities through Generalized Convexity. [PDF]
Almutairi OB.
europepmc +1 more source
A SHARP GENERAL OSTROWSKI TYPE INEQUALITY [PDF]
AbstractA new sharp general Ostrowski type inequality in L∞ norm is established. Some special cases are discussed.
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We first derive a perturbed Ostrowski-type inequality on time scales for k points for functions whose second derivatives are bounded and then unify corresponding continuous and discrete versions.
Wenbing Chen +2 more
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Norm estimates are developed between the Bochner integral of a vector-valued function in Banach spaces having the Radon-Nikodym property and the convex combination of function values taken on a division of the interval [a,b]
Cerone, P. +4 more
core +1 more source
Innate immune function during antineoplastic treatment is associated with 12-months survival in non-small cell lung cancer. [PDF]
Ryssel H +8 more
europepmc +1 more source
Trapezoidal-Type Inequalities for Strongly Convex and Quasi-Convex Functions via Post-Quantum Calculus. [PDF]
Kalsoom H, Vivas-Cortez M, Latif MA.
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On Aromaticity of the Aromatic α-Amino Acids and Tuning of the NICS Indices to Find the Aromaticity Order. [PDF]
Dudek WM, Ostrowski S, Dobrowolski JC.
europepmc +1 more source
Assessing the impact of SARS-CoV-2 infection on the dynamics of dengue and HIV via fractional derivatives. [PDF]
Omame A, Abbas M, Abdel-Aty AH.
europepmc +1 more source
Ostrowski type inequalities for $p$-convex functions
In this paper, we give a different version of theconcept of -convex functions and obtain some new properties of -convex functions. Moreover we establish some Ostrowski type inequalitiesfor the class of functions whose derivatives in absolute values at certainpowers are -convex.
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