\(q\)-non uniform difference calculus and classical integral inequalities

DOI10.1186/s13660-019-1983-0zbMath1499.39015OpenAlexW2920022712MaRDI QIDQ2067734

Enas M. Shehata, J. P. Nuwacu, Gaspard Bangerezako

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/s13660-019-1983-0

zbMATH Keywords

Sturm-Liouville equationLyapunov inequalities\(q\)-difference calculusLagrange methodCauchy-Schwarz integral inequalitiesHölder integral inequalitiesMinkowski integral inequalities

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Sturm-Liouville theory (34B24) Inequalities for sums, series and integrals (26D15) Discrete version of topics in analysis (39A12) Difference equations, scaling ((q)-differences) (39A13)

Cites Work

• Unnamed Item
• \(q\)-nonuniform difference linear control systems
• Approximation by Kantorovich type \(q\)-Bernstein-Stancu operators
• Approximation by \(q\)-analogue of Jakimovski-Leviatan operators involving \(q\)-Appell polynomials
• A general quantum difference calculus
• Approximation of \(q\)-Stancu-Beta operators which preserve \(x^2\)
• Variational calculus on \(q\)-nonuniform lattices
• Special nonuniform lattice (snul) orthogonal polynomials on discrete dense sets of points
• Some inequalities based on a general quantum difference operator
• q-Difference linear control systems
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials

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