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

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.

Keywords

• measurable functions
• integrable functions
• functions of bounded variation
• Cauchy-Bunyakovsky-Schwarz inequality
• Grüss’ type inequalities
• Čebyšev functional