New generalized trapezoid type inequalities for complex functions defined on unit circle and applications

H. Budak

doi:10.37863/umzh.v72i12.6035

H. Budak Univ., D¨uzce, Turkey

DOI: https://doi.org/10.37863/umzh.v72i12.6035

Keywords: Function of bounded variation, trapezoid type inequalities, H¨older type condition, Riemann-Stieltjes integral

Abstract

UDC 517.5

We establish new generalized trapezoid type inequalities for complex functions defined on unit circle via the function of bounded variation and the functions satisfying H¨older type condition.
Using these results, quadrature rule formula is also provided.

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