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On Certain Properties of Trigonometrically <i>ρ</i>-Convex Functions
Department of Mathematics, Faculty of Basic Education, PAAET, Shamiya, Kuwait
- 1 Department of Mathematics, Faculty of Basic Education, PAAET, Shamiya, Kuwait
Advances in Pure Mathematics·Volume 02 (2012)·Pages 337–340·Published 25 September 2012·DOI10.4236/apm.2012.25047
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Abstract
The aim of this paper is to prove that the average function of a trigonometrically ρ -convex function is trigonometrically ρ -convex. Furthermore, we show the existence of support curves implies the trigonometric ρ -convexity, and prove an extremum property of this function.
KeywordsGeneralized Convex FunctionsTrigonometrically ρ-convex FunctionsSupporting FunctionsAverage FunctionsExtremum Problems
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