Opial and Ostrowski type inequalities based on trigonometric and hyperbolic type Taylor formulae
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DOI:
https://doi.org/10.26637/mjm11S/001Abstract
Based on [4], we produce a collection of interesting trigonometric and hyperbolic Taylor formulae with integral remainders. Using these we derive Opial and Ostrowski type corresponding inequalities of various kinds and norms.
Keywords:
Trigonometric and hyperbolic Taylor formula, Opial inequality, Ostrowski inequalityMathematics Subject Classification:
26A24, 26D10, 26D15- Pages: 1-26
- Date Published: 01-10-2023
- Vol. 11 No. S (2023): Malaya Journal of Matematik (MJM): Special Issue Dedicated to Professor Gaston M. N'Guérékata’s 70th Birthday
G.A. Anastassiou, Probabilistic Inequalities, World Scienti…c, New Jersey, Singapore, 2010. DOI: https://doi.org/10.1142/7401
G.A. Anastassiou, Advanced Inequalities, World Scienti…c, New Jersey, Singapore, 2011. DOI: https://doi.org/10.1142/7847
G.A. Anastassiou, Intelligent Comparisons: Analytic Inequalities, Springer, Heidelberg, New York, 2016. DOI: https://doi.org/10.1007/978-3-319-21121-3
Ali Hasan Ali, Zsolt Pales, Taylor-type expansions in terms of exponential polynomials, Mathematical Inequalities and Applications, 25 (4) (2022), 1123-1141. DOI: https://doi.org/10.7153/mia-2022-25-69
- NA
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Copyright (c) 2023 George A. Anastassiou
This work is licensed under a Creative Commons Attribution 4.0 International License.
