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Start Over Topic convex functions Publication Year Range This year Language english Publication Type Academic Journals Publisher institute of mathematics, university of miskolc

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1. NEWTON-TYPE INEQUALITIES ASSOCIATED WITH CONVEX FUNCTIONS VIA QUANTUM CALCULUS.

Author

LUANGBOON, WAEWTA, NONLAOPON, KAMSING, SARIKAYA, MEHMET ZEKI, and BUDAK, HUSEYIN

Subjects
*CONVEX functions, *INTEGRALS, *DERIVATIVES (Mathematics), *MATHEMATICAL formulas, *MATHEMATICAL models
Abstract

In this paper, we firstly establish an identity by using the notions of quantum derivatives and integrals. Using this quantum identity, quantum Newton-type inequalities associated with convex functions are proved. We also show that the newly established inequalities can be recaptured into some existing inequalities by taking q → 1 −. Finally, we give mathematical examples of convex functions to verify the newly established inequalities. [ABSTRACT FROM AUTHOR]

Published
2024
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