Exploring properties and inequalities for geometrically arithmetically-CR-convex functions with CR-order relative entropy

DOI10.1016/J.INS.2024.120219WikidataQ128855831 ScholiaQ128855831MaRDI QIDQ6495098

Yuanheng Wang, Asfand Fahad, Shigeru Furuichi, Zammad Ali, Riaz Hussain

Publication date: 30 April 2024

Published in: Information Sciences (Search for Journal in Brave)

zbMATH Keywords

relative entropyJensen's inequalityHermite-Hadamard type inequalitiesTsallis relative entropydata processing inequalityJensen-Mercer inequalitygeometrically arithmetically (GA) convex functionsstrongly GA convex functions

Mathematics Subject Classification ID

Real functions (26-XX) Several complex variables and analytic spaces (32-XX)

Cites Work

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• Some integral inequalities for harmonic \(h\)-convex functions involving hypergeometric functions
• Convex functions, partial orderings, and statistical applications
• Calculus for interval functions of a real variable
• Advances in mathematical inequalities and applications
• Turán inequalities and complete monotonicity for a class of entire functions
• Jensen-Mercer inequality for GA-convex functions and some related inequalities
• Discussions on two integral inequalities of Hermite-Hadamard type for convex functions
• Monotone-delay-interval-based Lyapunov functionals for stability analysis of systems with a periodically varying delay
• Fejér-Hermite-Hadamard type inequalities involving generalized \(h\)-convexity on fractal sets and their applications
• Multiobjective programming in optimization of the interval objective function
• Comparison principles for solutions to the fractional differential inequalities with the general fractional derivatives and their applications
• On the fractional double integral inclusion relations having exponential kernels via interval-valued co-ordinated convex mappings
• Fundamental properties of Tsallis relative entropy
• Integration of Interval Functions
• Convexity according to means
• Convexity according to the geometric mean
• Some new inequalities of Hermite-Hadamard type for GA-convex functions
• Information gain within nonextensive thermostatistics
• Some Fejér type integral inequalities for geometrically-arithmetically-convex functions with applications
• Elements of Information Theory
• Enumeration of Seven-Argument Threshold Functions
• Convex functions
• Kolmogorov and Markov type inequalities on certain algebraic varieties
• Relatively exact controllability for higher-order fractional stochastic delay differential equations
• Quadratic Matrix Inequalities with Applications to Data-Based Control
• Certain fractional integral inclusions pertaining to interval-valued exponential trigonometric convex functions

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