Research Article

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

Volume: 7 Number: 2 October 15, 2019
Erdal Ünlüyol , Yeter Erdaş , Seren Salaş
EN

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

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

References

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APA
Ünlüyol, E., Erdaş, Y., & Salaş, S. (2019). Operator $(\alpha,m)$-convex functions and applications for synchronous and asynchronous functions. Mathematical Sciences and Applications E-Notes, 7(2), 225-236. https://doi.org/10.36753/mathenot.634516
AMA
1.Ünlüyol E, Erdaş Y, Salaş S. Operator $(\alpha,m)$-convex functions and applications for synchronous and asynchronous functions. Math. Sci. Appl. E-Notes. 2019;7(2):225-236. doi:10.36753/mathenot.634516
Chicago
Ünlüyol, Erdal, Yeter Erdaş, and Seren Salaş. 2019. “Operator $(\alpha,m)$-Convex Functions and Applications for Synchronous and Asynchronous Functions”. Mathematical Sciences and Applications E-Notes 7 (2): 225-36. https://doi.org/10.36753/mathenot.634516.
EndNote
Ünlüyol E, Erdaş Y, Salaş S (October 1, 2019) Operator $(\alpha,m)$-convex functions and applications for synchronous and asynchronous functions. Mathematical Sciences and Applications E-Notes 7 2 225–236.
IEEE
[1]E. Ünlüyol, Y. Erdaş, and S. Salaş, “Operator $(\alpha,m)$-convex functions and applications for synchronous and asynchronous functions”, Math. Sci. Appl. E-Notes, vol. 7, no. 2, pp. 225–236, Oct. 2019, doi: 10.36753/mathenot.634516.
ISNAD
Ünlüyol, Erdal - Erdaş, Yeter - Salaş, Seren. “Operator $(\alpha,m)$-Convex Functions and Applications for Synchronous and Asynchronous Functions”. Mathematical Sciences and Applications E-Notes 7/2 (October 1, 2019): 225-236. https://doi.org/10.36753/mathenot.634516.
JAMA
1.Ünlüyol E, Erdaş Y, Salaş S. Operator $(\alpha,m)$-convex functions and applications for synchronous and asynchronous functions. Math. Sci. Appl. E-Notes. 2019;7:225–236.
MLA
Ünlüyol, Erdal, et al. “Operator $(\alpha,m)$-Convex Functions and Applications for Synchronous and Asynchronous Functions”. Mathematical Sciences and Applications E-Notes, vol. 7, no. 2, Oct. 2019, pp. 225-36, doi:10.36753/mathenot.634516.
Vancouver
1.Erdal Ünlüyol, Yeter Erdaş, Seren Salaş. Operator $(\alpha,m)$-convex functions and applications for synchronous and asynchronous functions. Math. Sci. Appl. E-Notes. 2019 Oct. 1;7(2):225-36. doi:10.36753/mathenot.634516