Simpson Type Estimations for Convex Functions via Quantum Calculus

Samet Erden*, Necmettin Alp and Sabah Iftikhar

We first establish a new identity including quantum integrals and quantum numbers via q -differentiable functions. After that, with the help of this equality, a Simpson-type inequality for functions whose quantum derivatives in modulus are convex is derived, and some new inequalities for powers of quantum derivatives in absolute value are provided. It is also discussed how results come out in the case when q approaches 1. 

Mathematics Subject Classification: 26D15, 26D10, 26A51, 34A08.

Keywords:

Published on: Oct 15, 2024 Pages: 248-291

Full Text PDF Full Text HTML DOI: 10.17352/amp.000134
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