Operator $(\alpha,m)$-convex functions and applications for synchronous and asynchronous functions

Year 2019, Volume: 7 Issue: 2, 225 - 236, 15.10.2019

Erdal Ünlüyol , Yeter Erdaş , Seren Salaş

https://doi.org/10.36753/mathenot.634516

Abstract

In this study, firstly the definition of operator $(\alpha,m)$-convex function is defined. Secondly, a new lemma is given. Then, new theorems are obtained in terms of this lemma. Finally, they are applied for synchronous and asynchronous functions.

Keywords

The Hermite-Hadamard inequality , $(\alpha¸m)$-convex functions , synchronous and asynchronous functions , Hilbert space , selfadjoint operator , operator $(\alpha¸m)$-convex functions

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