Integral Inequalities Related to Wirtinger’s Result-Reference-Cited by-同舟云学术

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Integral Inequalities Related to Wirtinger’s Result

Published:2021-12-01 Issue:2 Volume:29 Page:37-55
ISSN:1584-3289
Container-title:General Mathematics
language:en
Short-container-title:

Author:

Dragomir Silvestru Sever¹

Affiliation:

1. Victoria University , College of Engineering and Science , Department of Mathematics , PO Box 14428 Melbourne City, MC 8001 , Australia

Abstract

Abstract In this paper we establish some natural consequences of the Wirtinger integral inequality. Applications related to the trapezoid unweighted and weighted inequalities, of Fejér’s inequality for convex functions and of Grüss’ type inequalities are also provided.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/gm-2021-0013

Reference10 articles.

1. [1] M. W. Alomari, On Beesack–Wirtinger Inequality, Results Math., Online First 2017 Springer International Publishing DOI 10.1007/s00025-016-0644-6.10.1007/s00025-016-0644-6

2. [2] P. R. Beesack, Extensions of Wirtinger’s inequality, Trans. R. Soc. Can., vol. 53, 1959, 21-30.

3. [3] P. Cerone, S. S. Dragomir, A refinement of the Grüss inequality and applications, Tamkang J. Math., vol. 38, no. 1, 2007, 37-49. Preprint RGMIA Res. Rep. Coll., vol. 5, no. 2, 2002, Article 14. [Online: http://rgmia.vu.edu.au/v5n2.html].10.5556/j.tkjm.38.2007.92

4. [4] J. B. Diaz, F. T. Metcalf, Variations on Wirtinger’s inequality, Inequalities Academic Press, New York, 1967, 79-103.

5. [5] L. Fejér, Über die Fourierreihen, II, (In Hungarian) Math. Naturwiss, Anz. Ungar. Akad. Wiss., vol. 24, 1906, 369-390.

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