THE HERMITE-HADAMARD TYPE INEQUALITIES FOR OPERATOR m-CONVEX FUNCTIONS IN HILBERT SPACE

Yeter Erdaş; Erdal Unluyol; Seren Salaş

EN

THE HERMITE-HADAMARD TYPE INEQUALITIES FOR OPERATOR m-CONVEX FUNCTIONS IN HILBERT SPACE

Abstract

− In this paper, we first define operators m-convex functions for positive, bounded, selfadjoint operators in Hilbert space via m-convex functions. Secondly, we establish some new theoremsfor them. Finally, we obtain the Hermite-Hadamard type inequalities for the product two operatorsm-convex functions in Hilbert space

Keywords

− The Hermite-Hadamard inequality, m-convex functions, operator m-convex functions,selfadjoint operator, inner product space, Hilbert space

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Yeter Erdaş This is me

Erdal Unluyol This is me

Seren Salaş This is me

Publication Date

June 1, 2015

Submission Date

June 1, 2015

Acceptance Date

-

Published in Issue

Year 2015 Number: 5

IZ

https://izlik.org/JA92JS85PT

Cite

RIS / Bibtex

APA

Erdaş, Y., Unluyol, E., & Salaş, S. (2015). THE HERMITE-HADAMARD TYPE INEQUALITIES FOR OPERATOR m-CONVEX FUNCTIONS IN HILBERT SPACE. Journal of New Theory, 5, 92-100. https://izlik.org/JA92JS85PT

AMA

1.Erdaş Y, Unluyol E, Salaş S. THE HERMITE-HADAMARD TYPE INEQUALITIES FOR OPERATOR m-CONVEX FUNCTIONS IN HILBERT SPACE. JNT. 2015;(5):92-100. https://izlik.org/JA92JS85PT

Chicago

Erdaş, Yeter, Erdal Unluyol, and Seren Salaş. 2015. “THE HERMITE-HADAMARD TYPE INEQUALITIES FOR OPERATOR M-CONVEX FUNCTIONS IN HILBERT SPACE”. Journal of New Theory, nos. 5: 92-100. https://izlik.org/JA92JS85PT.

EndNote

Erdaş Y, Unluyol E, Salaş S (June 1, 2015) THE HERMITE-HADAMARD TYPE INEQUALITIES FOR OPERATOR m-CONVEX FUNCTIONS IN HILBERT SPACE. Journal of New Theory 5 92–100.

IEEE

[1]Y. Erdaş, E. Unluyol, and S. Salaş, “THE HERMITE-HADAMARD TYPE INEQUALITIES FOR OPERATOR m-CONVEX FUNCTIONS IN HILBERT SPACE”, JNT, no. 5, pp. 92–100, June 2015, [Online]. Available: https://izlik.org/JA92JS85PT

ISNAD

Erdaş, Yeter - Unluyol, Erdal - Salaş, Seren. “THE HERMITE-HADAMARD TYPE INEQUALITIES FOR OPERATOR M-CONVEX FUNCTIONS IN HILBERT SPACE”. Journal of New Theory. 5 (June 1, 2015): 92-100. https://izlik.org/JA92JS85PT.

JAMA

1.Erdaş Y, Unluyol E, Salaş S. THE HERMITE-HADAMARD TYPE INEQUALITIES FOR OPERATOR m-CONVEX FUNCTIONS IN HILBERT SPACE. JNT. 2015;:92–100.

MLA

Erdaş, Yeter, et al. “THE HERMITE-HADAMARD TYPE INEQUALITIES FOR OPERATOR M-CONVEX FUNCTIONS IN HILBERT SPACE”. Journal of New Theory, no. 5, June 2015, pp. 92-100, https://izlik.org/JA92JS85PT.

Vancouver

1.Yeter Erdaş, Erdal Unluyol, Seren Salaş. THE HERMITE-HADAMARD TYPE INEQUALITIES FOR OPERATOR m-CONVEX FUNCTIONS IN HILBERT SPACE. JNT [Internet]. 2015 Jun. 1;(5):92-100. Available from: https://izlik.org/JA92JS85PT