Some inequalities based on a general quantum difference operator

DOI10.1186/s13660-015-0566-yzbMath1325.47078OpenAlexW2166012557WikidataQ59426042 ScholiaQ59426042MaRDI QIDQ2261974

Enas M. Shehata, Alaa E. Hamza

Publication date: 13 March 2015

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

Full work available at URL: https://doi.org/10.1186/s13660-015-0566-y

zbMATH Keywords

Hölder inequalityBernoulli inequalityLyapunov inequalityquantum calculusMinkowski inequalityGronwall inequalityquantum difference operator

Mathematics Subject Classification ID

Additive difference equations (39A10) Inequalities for sums, series and integrals (26D15) Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13) Linear difference operators (47B39)

Related Items (8)

On the fixed points of certain types of functions for constructing associated calculi ⋮ A general quantum Laplace transform ⋮ Variations around a general quantum operator ⋮ Hermite-Hadamard inequalities for quantum integrals: a unified approach ⋮ Unnamed Item ⋮ Leibniz’s Rule and Fubini’s Theorem Associated with a General Quantum Difference Operator ⋮ Aβ-Sturm–Liouville problem associated with the general quantum operator ⋮ \(q\)-non uniform difference calculus and classical integral inequalities

Cites Work

• Unnamed Item
• \(q\)-fractional calculus and equations
• The Hahn quantum variational calculus
• Symmetric differentiation on time scales
• Lyapunov inequalities for time scales.
• Existence and uniqueness of solutions of Hahn difference equations
• Hahn difference operator and associated Jackson-Nörlund integrals
• Inequalities on Time Scales: A Survey
• Generalized transversality conditions for the Hahn quantum variational calculus
• The power quantum calculus and variational problems
• Quantum Variational Calculus
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen
• Quantum calculus

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