Çarpımsal ?-Fonksiyonlar İçin Hermite-Hadamard Tipli Eşitsizlikler

Bu çalışmada, öncelikle, çarpımsal ?-fonksiyonlar için çarpımsal kalkülüs ortamında Hermite-Hadamard tipi bazı integral eşitsizlikleri oluşturulmuştur. Daha sonra, bu tür fonksiyonların bazı özellikleri kullanılarak, çarpımsal Pfonksiyonlar ile konveks fonksiyonların çarpım ve bölümleri için çarpımsal integralleri içeren yeni eşitsizlikler elde edilmiştir.

Hermite-Hadamard Type Inequalities for Multiplicatively ?-Functions

In this study, we first establish some integral inequalities of Hermite-Hadamard type in the setting of multiplicativecalculus for multiplicatively ?-functions. Then, by using some properties of this kind of functions, we obtain newinequalities involving multiplicative integrals for product and quotient of multiplicatively ?-functions and convexfunctions.

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