Hermite-Hadamard inequalities for quantum integrals: a unified approach

DOI10.1016/j.amc.2023.128345OpenAlexW4387204671MaRDI QIDQ6069365

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Publication date: 14 November 2023

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2023.128345

zbMATH Keywords

convex functionHermite-Hadamard inequalities\(\beta\)-derivative\(\beta\)-integralgeneral quantum difference operator\(\beta\)-Hermite-Hadamard inequalities

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Denjoy and Perron integrals, other special integrals (26A39)

Cites Work

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• Variations around Jackson's quantum operator
• Variational methods for fractional \(q\)-Sturm-Liouville problems
• A few properties of the third Jackson \(q\)-Bessel function
• Basic Fourier series: convergence on and outside the \(q\)-linear grid
• A completeness theorem for a Hahn-Fourier system and an associated classical sampling theorem
• Sampling theorems associated with singular \(q\)-Sturm Liouville problems
• Variations around a general quantum operator
• Basic Fourier series on a \(q\)-linear grid: convergence theorems
• \(q\)-Taylor and interpolation series for Jackson \(q\)-difference operators
• Hermite and convexity
• Two mappings in connection to Hadamard's inequalities
• \(q\)-type sampling theorems
• A general quantum difference calculus
• Quantum calculus on finite intervals and applications to impulsive difference equations
• Theory of \(n\)th-order linear general quantum difference equations
• Sampling theorems for Jackson-Nörlund transforms associated with Hahn-difference operators
• On basic Fourier-Bessel expansions
• Hahn difference operator and associated Jackson-Nörlund integrals
• Old and new on the Hermite-Hadamard inequality
• An introduction to basic Fourier series
• A general quantum Laplace transform
• On \(q\)-Hermite-Hadamard inequalities for general convex functions
• Some inequalities based on a general quantum difference operator
• On sampling theory and basic Sturm-Liouville systems
• On homogeneous second order linear general quantum difference equations
• An extension of the Hermite-Hadamard inequality for convex and \(s\)-convex functions
• Uniform convergence of basic Fourier-Bessel series on a \(q\)-linear grid
• A \(\beta\)-convolution theorem associated with the general quantum difference operator
• A 𝑞-sampling theorem related to the 𝑞-Hankel transform
• On q-Analogues of the Fourier and Hankel Transforms
• A 𝑞-analogue of the Whittaker-Shannon-Kotel’nikov sampling theorem
• Basic Sturm–Liouville problems
• Generalized transversality conditions for the Hahn quantum variational calculus
• The power quantum calculus and variational problems
• Set Inclusions of the Hermite-Hadamard Type for $m$ Polynomial Harmonically Convex Interval Valued Functions
• Aβ-Sturm–Liouville problem associated with the general quantum operator
• A Sturm–Liouville Theory for Hahn Difference Operator
• Basic analog of Fourier series on a \(q\)-linear grid.

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