Some Opial-type integral inequalities via \((p, q)\)-calculus

DOI10.1186/s13660-019-2247-8zbMath1499.26083OpenAlexW2987748583MaRDI QIDQ2068086

Yanyan Li

Publication date: 19 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-019-2247-8

zbMATH Keywords

Opial inequality\((p, q)\)-integral\(q\)-opial inequality

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (10)

On sequential fractional Caputo \((p, q)\)-integrodifference equations via three-point fractional Riemann-Liouville \((p, q)\)-difference boundary condition ⋮ Some \((p,q)\)-Hardy type inequalities for \((p,q)\)-integrable functions ⋮ Some Opial type inequalities in \((p, q)\)-calculus ⋮ Post-quantum Ostrowski type integral inequalities for twice (p,q)-differentiable functions ⋮ On fractional \((p,q)\)-calculus ⋮ On the \((p, q)\)-Mellin transform and its applications ⋮ Two-dimensional (P,Q)-Mellin transform and applications ⋮ On Simpson type inequalities for generalized strongly preinvex functions via \((p,q)\)-calculus and applications ⋮ Fractional \((p,q)\)-Mellin transform and its applications ⋮ Some new Hermite-Hadamard and Ostrowski type inequalities for s-preinvex functions in \((p,q)\)-calculus with applications

Cites Work

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• Some approximation results on Bernstein-Schurer operators defined by \((p,q)\)-integers
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• Integral inequalities in \(q\)-calculus
• Generalized \((p,q)\)-Bleimann-Butzer-Hahn operators and some approximation results
• On the fundamental theorem of \((p,q)\)-calculus and some \((p,q)\)-Taylor formulas
• Opial inequality in \(q\)-calculus
• Sur une inégalité
• (p,q)-Bivariate-Bernstein-Chlodowsky operators
• Some approximation results on Bleimann-Butzer-Hahn operators defined by (p,q)-integers

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