Generalizations of the Simpson-Like Type Inequalities for Co-Ordinated đť‘ -Convex Mappings in the Second Sense
Author(s) -
Jaekeun Park
Publication year - 2012
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2012/715751
Subject(s) - mathematics , differentiable function , type (biology) , regular polygon , identity (music) , pure mathematics , inequality , sense (electronics) , convex function , subderivative , interval (graph theory) , discrete mathematics , combinatorics , mathematical analysis , convex optimization , geometry , ecology , electrical engineering , biology , engineering , physics , acoustics
A generalized identity for some partial differentiable mappings on a bidimensional interval is obtained, and, by using this result, the author establishes generalizations of Simpson-like type inequalities for coordinated s-convex mappings in the second sense
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