Opial and Pólya type inequalities via convexity

DOI10.1515/FASCMATH-2018-0009zbMath1395.26003OpenAlexW2888169886MaRDI QIDQ1673575

Peng Zhang

Publication date: 12 September 2018

Published in: Fasciculi Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fascmath-2018-0009

zbMATH Keywords

time scalesHölder inequalityJensen inequalityOpial inequality

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Inequalities for sums, series and integrals (26D15) Difference equations, scaling ((q)-differences) (39A13) Convexity of real functions in one variable, generalizations (26A51) Differential inequalities involving functions of a single real variable (34A40) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (2)

Some Opial type inequalities in \((p, q)\)-calculus ⋮ On q-Opial type inequality for quantum integral

Cites Work

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• New inequalities of Opial's type on time scales and some of their applications
• Some Opial-type inequalities on time scales
• A generalization of Opial's inequality and applications to second-order dynamic equations
• Some generalizations of Opial's inequalities on time scales
• Some weighted Opial-type inequalities on time scales
• Basic calculus on time scales and some of its applications
• Opial inequalities on time scales
• Dynamic Inequalities On Time Scales
• Sur une inégalité
• A simple proof of a certain result of Z. Opial
• On a certain result of Z. Opial
• The Existence-Uniqueness Theorem for an nth Order Linear Ordinary Differential Equation

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