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

Year 2019, Volume: 2 Issue: 2, 161 - 175, 27.06.2019

George Anastassıou

https://doi.org/10.33434/cams.556815

Cited By: 2

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

References

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