An extension of Wirtinger's inequality to the complex integral

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Dragomir, Sever S ORCID: 0000-0003-2902-6805 (2023) An extension of Wirtinger's inequality to the complex integral. Studia Universitatis Babes-Bolyai Mathematica, 68 (3). pp. 507-516. ISSN 2065-961x

Abstract

In this paper we establish a natural extension of the Wirtinger inequality to the case of complex integral of analytic functions. Applications related to the trapezoid inequalities are also provided. Examples for logarithmic and exponential complex functions are given as well.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/48091
DOI 10.24193/subbmath.2023.3.04
Official URL https://www.cs.ubbcluj.ro/~studia-m/index.php/jour...
Subjects Current > FOR (2020) Classification > 4901 Applied mathematics
Current > Division/Research > Institute for Sustainable Industries and Liveable Cities
Keywords Wirtinger’s inequality; trapezoid inequality; complex integral; analytic functions
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