Generalized Jensen's functional on time scales via extended Montgomery identity

DOI10.1186/s13660-021-02629-4zbMath1504.26063OpenAlexW3172312482MaRDI QIDQ2072872

Rabia Bibi, Ammara Nosheen, Sofia Ramzan, Josip E. Pečarić

Publication date: 26 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-021-02629-4

zbMATH Keywords

convex functionsJensen inequalitytime scales calculusdiamond integrals

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Inequalities for sums, series and integrals (26D15) Real analysis on time scales or measure chains (26E70)

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Cites Work

• Integral inequalities on time scales via the theory of isotonic linear functionals
• Symmetric differentiation on time scales
• The diamond integral on time scales
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• An exploration of combined dynamic derivatives on time scales and their applications
• Diamond-\(\alpha \) Jensen's inequality on time scales
• Extensions of certain integral inequalities on time scales
• Convex functions, partial orderings, and statistical applications
• A practical guide to splines
• Inequalities on Time Scales: A Survey
• Generalization of Jensen-type linear functional on time scales via lidstone polynomial
• Some new Ostrowski-type bounds for the Čebyšev functional and applications
• Analytic Inequalities
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