Operator (h,m)-Convexity and Hermite-Hadamard Type Inequalities

Objective & Hypothesis:In this paper, firstly we define a new class of operator convex functions in Hilbert space, as operator (h,m)-convex functions.

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Key Findings & Data:Later we give some properties of this class.

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Conclusion & Impact:Finally, we obtain some new inequalities via Hermite-Hadamard inequality for operator (h,m)-convex function

🔬Design:Research Article

📍Scope:Comprehensive Sample

⚙️Variables:Hermite-Hadamard tipi eşitsizlik · operatör konveks · operatör m-konveks

Abstract

In this paper, firstly we define a new class of operator convex functions in Hilbert space, as operator (h,m)-convex functions. Later we give some properties of this class. Finally, we obtain some new inequalities via Hermite-Hadamard inequality for operator (h,m)-convex function

Özet

Bu çalışmada, ilk olarak Hilbert uzayında yeni bir operatör konveks sınıfı olan “operatör (ℎ, 𝑚)-konveks fonksiyonlar sınıfı” tanıtıldı. Daha sonra bu sınıfın bazı özellikleri verildi. Son olarak ise operatör (ℎ, 𝑚)-konveks fonksiyonlar için Hermite-Hadamard tipi eşitsizlikler yardımıyla bazı yeni eşitsizlikler elde edildi.

Keywords

Hermite-Hadamard tipi eşitsizlik operatör konveks operatör m-konveks operatör ℎ-konveks operatör (ℎ 𝑚)-konveks Hilbert uzayı.Hermite-Hadamard inequality Operator convex Operator m-convex Operator hconvex Operator (h m)-convex Hilbert space

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Cite This Article

SALAŞ, S., ÜNLÜYOL, E., YARDIMCIEL, D. (2017). Operator (h,m)-Convexity and Hermite-Hadamard Type Inequalities. Ordu Üniversitesi Bilim ve Teknoloji Dergisi, Cilt: 7 - Sayı: 2, 367–377. https://ajindex.com/articles/262343

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References (3)

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