Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 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.
English version:
Journal of Mathematical Sciences, 2019, Volume 241, Issue 6, Pages 727–734
DOI: https://doi.org/10.1007/s10958-019-04458-9
Bibliographic databases:
Document Type: Article
UDC: 517.162
MSC: 26D15
Language: Russian
Citation: S. I. Kalinin, “$(0,0)$-Convex functions and their properties”, Complex analysis, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 142, VINITI, M., 2017, 81–87; Journal of Mathematical Sciences, 241:6 (2019), 727–734
Citation in format AMSBIB
\Bibitem{Kal17}
\by S.~I.~Kalinin
\paper $(0,0)$-Convex functions and their properties
\inbook Complex analysis
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2017
\vol 142
\pages 81--87
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into255}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3801351}
\zmath{https://zbmath.org/?q=an:1426.26024}
\transl
\jour Journal of Mathematical Sciences
\yr 2019
\vol 241
\issue 6
\pages 727--734
\crossref{https://doi.org/10.1007/s10958-019-04458-9}
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    Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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