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ON TRIGONOMETRICALLY QUASI-CONVEX FUNCTIONS
( Selim Numan ),( İmdat İşcan ) 호남수학회 2021 호남수학학술지 Vol.43 No.1
In this paper, we introduce and study the concept of trigono-metrically quasi-convex function. We prove Hermite-Hadamard type in- equalities for the newly introduced class of functions and obtain some new Hermite-Hadamard inequalities for functions whose first derivative in absolute value, raised to a certain power which is greater than one, respectively at least one, is trigonometrically quasi-convex convex. We also extend our initial results to functions of several variables. Next, we point out some applications of our results to give estimates for the approximation error of the integral the function in the trapezoidal formula.
Case Report : Subcutaneous Sarcoidosis with Plantar Involvement
( Gokhan Celik ),( Aydin Ciledag ),( Pinar Akin ),( Yasin Simsek ),( Akin Kaya ),( Numan Numanoglu ),( Yavuz Yener Saglik ),( Ayse Boyvat ),( Selim Erekul ) 대한피부과학회 2010 Annals of Dermatology Vol.22 No.4
Sarcoidosis is a multisystem granulomatous disorder of an unknown etiology. Subcutaneous sarcoidosis is a rare manifestation of sarcoidosis, and plantar involvement is extremely rare and there is only one such case report in the medical literature. Herein we present an interesting case of a patient who was diagnosed as having subcutaneous sarcoidosis at a plantar localization because plantar involvement is extremely rare and also because of the successful outcome after performing intralesional corticosteroid therapy. (Ann Dermatol 22(4) 435~438, 2010)