Open AccessSome integral inequalities for multiplicatively geometrically P-functions
Author(s) -
Huriye Kadakal
Publication year - 2019
Publication title -
an international journal of optimization and control: theories and applications/e-an international journal of optimization and control: theories and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.287
H-Index - 6
eISSN - 2146-5703
pISSN - 2146-0957
DOI - 10.11121/ijocta.01.2019.00738
Subject(s) - mathematics , hadamard transform , differentiable function , generalization , pure mathematics , identity (music) , type (biology) , inequality , value (mathematics) , mathematical analysis , algebra over a field , ecology , physics , acoustics , biology , statistics
In this manuscript, by using a general identity for differentiable functions we can obtain new estimates on a generalization of Hadamard, Ostrowski and Simpson type inequalities for functions whose derivatives in absolute value at certain power are multiplicatively geometrically P-functions. Some applications to special means of real numbers are also given.