Some New Quantum Hermite–Hadamard-Like Inequalities for Coordinated Convex Functions

Hüseyin Budak (), Muhammad Aamir Ali () and Meliha Tarhanaci ()
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Hüseyin Budak: Düzce University
Muhammad Aamir Ali: Nanjing Normal University
Meliha Tarhanaci: Düzce University

Journal of Optimization Theory and Applications, 2020, vol. 186, issue 3, No 9, 899-910

Abstract: Abstract In this paper, we give some new definitions for quantum integrals of two-variable functions. We establish quantum Hermite–Hadamard-type inequalities for coordinated convex functions via newly defined quantum integrals.

Keywords: Hermite–Hadamard inequality; q-Integrals; Quantum calculus; Coordinated convexity; 26D10; 26D15; 26B25 (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-020-01726-6

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