Open AccessOn Integral Inequalities of Hermite-Hadamard Type fors-Geometrically Convex Functions
Author(s) -
Tian-yu Zhang,
Ai-Ping Ji,
Feng Qi
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/560586
Subject(s) - mathematics , hadamard transform , convex function , hermite polynomials , type (biology) , pure mathematics , regular polygon , inequality , convex analysis , young's inequality , mathematical analysis , convex optimization , kantorovich inequality , linear inequality , geometry , ecology , biology
The authors introduce the concept of the s-geometrically convex functions. By the well-known Hölder inequality, they establish some integral inequalities of Hermite-Hadamard type related to the s-geometrically convex functions and apply these inequalities to special means
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