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

Author:

Budak H.

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.

Publisher

Institute of Mathematics National Academy of Sciences of Ukraine

Reference17 articles.

1. H. Budak, M. Z. Sarikaya, On generalization of Dragomir’s inequalities, Turkish J. Analysis and Number Theory, 5, № 5, 191 – 196 (2017).

2. H. Budak, M. Z. Sarikaya, A companion of Ostrowski type inequalities for mappings of bounded variation and some applications, Trans. A. Razmadze Math. Inst., 171, № 2, 136 – 143 (2017), https://doi.org/10.1016/j.trmi.2017.03.004

3. H. Budak, M. Z. Sarikaya, A. Qayyum, New refinements and applications of Ostrowski type inequalities for mappings whose derivatives are of bounded variation, TWMS Journal of Applied and Eng. Math. (0000).

4. H. Budak, M. Z. Sarikaya, A. Qayyum, Improvement in companion of Ostrowski type inequalities for mappings whose first derivatives are of bounded variation and application, Filomat, 31, № 16, 5305 – 5314 (2017), https://doi.org/10.2298/fil1716305b

5. P. Cerone, S. S. Dragomir, C. E. M. Pearce, A generalized trapezoid inequality for functions of bounded variation, Turkish J. Math., 24, № 2, 147 – 163 (2000).

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