On q-Hermite–Hadamard inequalities for general convex functions
| Autor: | Sergio Bermudo, Péter Kórus, J. E. Nápoles Valdés |
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| Rok vydání: | 2020 |
| Předmět: |
Pure mathematics
Hermite polynomials Inequality General Mathematics media_common.quotation_subject 010102 general mathematics Mathematics::Classical Analysis and ODEs Context (language use) 010103 numerical & computational mathematics 01 natural sciences Hadamard transform 0101 mathematics Convex function media_common Mathematics |
| Zdroj: | Acta Mathematica Hungarica. 162:364-374 |
| ISSN: | 1588-2632 0236-5294 |
| DOI: | 10.1007/s10474-020-01025-6 |
| Popis: | The Hermite–Hadamard inequality was first considered for convex functions and has been studied extensively. Recently, many extensions were given with the use of general convex functions. In this paper we present some variants of the Hermite–Hadamard inequality for general convex functions in the context of q-calculus. From our theorems, we deduce some recent results in the topic. |
| Databáze: | OpenAIRE |
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