Some results on quantum Hahn integral inequalities

DOI10.1186/s13660-019-2101-zzbMath1499.39013OpenAlexW2946976869WikidataQ127803665 ScholiaQ127803665MaRDI QIDQ2067897

Sotiris K. Ntouyas, Chayapat Sudprasert, Suphawat Asawasamrit, Jessada Tariboon

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/s13660-019-2101-z

zbMATH Keywords

Hahn difference operatorGrüss-Čebyšev type fractional Hahn integral inequalityHahn difference inequalitiesHahn integral operatorHermite-Hadamard quantum Hahn integral inequalityPólya-Szegö type fractional Hahn integral inequalities

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Inequalities for sums, series and integrals (26D15) Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13)

Related Items (5)

Post-quantum Ostrowski type integral inequalities for twice (p,q)-differentiable functions ⋮ Some trapezoid and midpoint type inequalities via fractional \((p,q)\)-calculus ⋮ Some new Hermite-Hadamard and Ostrowski type inequalities for s-preinvex functions in \((p,q)\)-calculus with applications ⋮ On q,ω -differential transform method ⋮ On new modifications governed by quantum Hahn's integral operator pertaining to fractional calculus

Cites Work

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• The Hahn quantum variational calculus
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• New concepts of Hahn calculus and impulsive Hahn difference equations
• On fractional Hahn calculus
• New concepts of fractional Hahn's \(q,\omega \)-derivative of Riemann-Liouville type and Caputo type and applications
• Existence results for fractional Hahn difference and fractional Hahn integral boundary value problems
• Hahn difference operator and associated Jackson-Nörlund integrals
• Advances in Fractional Calculus

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