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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive
Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2017 Volume 142, Pages 81–87 (Mi into255)
$(0,0)$-Convex functions and their properties

S. I. Kalinin

Vyatka State University

Abstract: We introduce the concept of $(\alpha, \beta)$-convex function on an interval. We examine in detail properties of $(0,0)$-convex functions and their geometric characterization.

Keywords: convex function, $(\alpha, \beta)$-convexity, $(0,0)$-convex and concave functions.

UDC: 517.162

MSC: 26D15


 English version: Journal of Mathematical Sciences (New York), 2019, 241:6, 727–734

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© Steklov Math. Inst. of RAS, 2024