Some Bounds for the Complex Čebyšev Functional of Functions of Bounded Variation-Reference-Cited by-同舟云学术

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Some Bounds for the Complex Čebyšev Functional of Functions of Bounded Variation

Published:2021-06-02 Issue:6 Volume:13 Page:990
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Dragomir Silvestru Sever^ORCID

Abstract

In this paper, we provide several bounds for the modulus of the complex Čebyšev functional. Applications to the trapezoid and mid-point inequalities, that are symmetric inequalities, are also provided.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/13/6/990/pdf

Reference18 articles.

1. �ber das Maximum des absoluten Betrages von $$\frac{1}{{b - a}}\int\limits_a^b {f\left( x \right)} g\left( x \right)dx - \frac{1}{{\left( {b - a} \right)^2 }}\int\limits_a^b {f\left( x \right)dx} \int\limits_a^b g \left( x \right)dx$$

2. Some new Ostrowski-type bounds for the Čebyšev functional and applications

3. Sur les expressions approximatives des intègrals dèfinis par les outres prises entre les même limites;Chebyshev;Proc. Math. Soc. Charkov,1882

4. A Generalization of Grüss's Inequality in Inner Product Spaces and Applications

5. On some Grüss’ type inequalities for the complex integral

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