Complex Multivariate Montgomery Type Identity Leading to Complex Multivariate Ostrowski and Grüss Inequalities

Authors : George ANASTASSIOU

Pages : 161-175

Doi:10.33434/cams.556815

View : 49 | Download : 21

Publication Date : 2019-06-27

Article Type : Research Paper

Abstract :We give a general complex multivariate Montgomery type identity which is a representation formula for a complex multivariate function. Using it we produce general tight complex multivariate high order Ostrowski and Grüss type inequalities. The estimates involve $L_{p}$ norms, any $1\leq p\leq \infty $. We include also applications.
Keywords : Multivariate complex integral, Multivariate complex continuous functions, Multivariate complex analytic functions, Multivariate complex montgomery identity, Multivariate complex Ostrowski and Gr` u ss inequalities

ORIGINAL ARTICLE URL