A new generalization of some quantum integral inequalities for quantum differentiable convex functions

DOI10.1186/s13662-021-03382-0zbMath1494.26053OpenAlexW3164667188MaRDI QIDQ2166952

Yu-Ming Chu, Hüseyin Budak, Mujahid Abbas, Yi Xia Li, Muhammad Aamir Ali

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03382-0

zbMATH Keywords

convex functionsHermite-Hadamard inequalityquantum calculusmidpoint inequalitiestrapezoid inequalities

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving derivatives and differential and integral operators (26D10)

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Cites Work

• Intelligent mathematics: computational analysis
• Some quantum integral inequalities via preinvex functions
• Different types of quantum integral inequalities via \((\alpha ,m)\)-convexity
• Some quantum estimates for Hermite-Hadamard inequalities
• \(q\)-difference operators for orthogonal polynomials
• Constants of motion for non-differentiable quantum variational problems
• Integral inequalities in \(q\)-calculus
• Quantum calculus on finite intervals and applications to impulsive difference equations
• On some new quantum midpoint-type inequalities for twice quantum differentiable convex functions
• Quantum Ostrowski-type inequalities for twice quantum differentiable functions in quantum calculus
• Quantum Hermite-Hadamard inequality by means of a Green function
• New quantum boundaries for quantum Simpson's and quantum Newton's type inequalities for preinvex functions
• New parameterized quantum integral inequalities via \(\eta\)-quasiconvexity
• Some new quantum Hermite-Hadamard-like inequalities for coordinated convex functions
• On \(q\)-Hermite-Hadamard inequalities for general convex functions
• Quantum Hermite-Hadamard-type inequalities for functions with convex absolute values of second \(q^b\)-derivatives
• Quantum variant of Montgomery identity and Ostrowski-type inequalities for the mappings of two variables
• A Comprehensive Treatment of q-Calculus
• Quantum Ostrowski inequalities for q-differentiable convex functions
• Nondifferentiable variational principles in terms of a quantum operator
• Bounds having Riemann type quantum integrals via strongly convex functions
• Quantum integral inequalities for convex functions
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• Information in black hole radiation
• Simpson and Newton type inequalities for convex functions via newly defined quantum integrals
• Quantum Ostrowski‐type integral inequalities for functions of two variables
• Some trapezoid and midpoint type inequalities for newly defined quantum integrals
• SOME QUANTUM ESTIMATES OF HERMITE-HADAMARD INEQUALITIES FOR CONVEX FUNCTIONS
• Quantum calculus
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• Unnamed Item

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