Simpson's and Newton's type quantum integral inequalities for preinvex functions

DOI10.11568/kjm.2021.29.1.193zbMath1468.26016OpenAlexW3151160683MaRDI QIDQ5006077

Muhammad Aamir Ali, Ghulam Murtaza, Mubarra Sehar, Mujahid Abbas

Publication date: 12 August 2021

Full work available at URL: http://journal.kkms.org/index.php/kjm/article/download/1111/602

zbMATH Keywords

\(q\)-derivativepreinvex function\(q\)-integralSimpson inequalities

Mathematics Subject Classification ID

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)

Related Items

Generalizations of fractional Hermite-Hadamard-Mercer like inequalities for convex functions ⋮ Quantum Ostrowski type inequalities for pre-invex functions

Cites Work

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• New quantum boundaries for quantum Simpson's and quantum Newton's type inequalities for preinvex functions
• Some new quantum Hermite-Hadamard-like inequalities for coordinated convex functions
• On \(q\)-Hermite-Hadamard inequalities for general convex functions
• Quantum variant of Montgomery identity and Ostrowski-type inequalities for the mappings of two variables
• Properties and integral inequalities of Hadamard- Simpson type for the generalized (s,m) -preinvex functions
• A Comprehensive Treatment of q-Calculus
• Some Fractional q-Integrals and q-Derivatives

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