An extension of Wirtinger’s inequality to the complex integral

Authors

  • Silvestru Sever DRAGOMIR Mathematics, College of Sport, Health and Engineering, Victoria University, Melbourne, Australia; DST-NRF Centre of Excellence in the Mathematical and Statistical Sciences, School of Computer Science&Applied Mathematics, University of the Witwatersrand, Johannesburg, South Africa. Email: sever.dragomir@vu.edu.au. https://orcid.org/0000-0003-2902-6805

DOI:

https://doi.org/10.24193/subbmath.2023.3.04

Keywords:

Wirtinger’s inequality, trapezoid inequality, complex integral, analytic functions.

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.

Mathematics Subject Classification (2010): 26D15, 26D10.

References

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STUDIA UBB MATHEMATICA, Volume 68 (LXVIII), No. 3, September 2023

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Published

2023-09-30

How to Cite

DRAGOMIR, S. S. . (2023). An extension of Wirtinger’s inequality to the complex integral. Studia Universitatis Babeș-Bolyai Mathematica, 68(3), 507–516. https://doi.org/10.24193/subbmath.2023.3.04

Issue

Volume 68, No. 3, September 2023

Section

Articles

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Copyright (c) 2023 Studia Universitatis Babeș-Bolyai Mathematica

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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