Convexity and double-sided Taylor's approximations
Abstract
Keywords
References
- [1] A.L. Cauchy, Trente-Cinquième Leçon, Résumé des leçons données à l’Ecole royale polytechnique sur le calcul infinitésimal, Imprimerie Royale, Paris, 133–140, 1823. Reprint: OEuvres complètes II(4), Gauthier-Villars, Paris, 5-261.
- [2] J. Dieudonne (ed.), Oeuvres de Camille Jordan I-IV, Gauthier-Villars, Paris, 1961- 1964.
- [3] H. Kober, Approximation by integral functions in the complex domain, Trans. Amer. Math. Soc. 56 (1), 7-31, 1944.
- [4] T. Lutovac, B. Malešević, and M. Rašajski, A new method for proving some inequalities related to several special functions, Results Math. 73:100, 15 pp, 2018.
- [5] B. Malešević, T. Lutovac M. Rašajski, B. Banjac, Double-Sided Taylor’s Approximations and Their Applications in Theory of Trigonometric Inequalities, in: eds M.Th. Rassias, A. Raigorodskii, Trigonometric Sums and Their Applications, 159– 167, Springer, 2020.
- [6] B. Malešević, T. Lutovac, M. Rašajski, B. Banjac, Error-Functions in Double-Sided Taylor’s Approximations, Appl. Anal. Discrete Math. 14 (3), 599–613, 2020.
- [7] B. Malešević, T. Lutovac, M. Rašajski and C. Mortici, Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities, Adv. Difference Equ. 2018:90, 15 pp, 2018.
- [8] B. Malešević, M. Rašajski, and T. Lutovac, Double-sided Taylor’s approximations and their applications in Theory of analytic inequalities, in: eds. Th. Rassias and D. Andrica, Differential and Integral Inequalities, Optimization and Its Applications 151, 569–582, Springer, 2019.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Authors
Marko Kostic
0000-0002-0392-4976
Serbia
Publication Date
May 30, 2023
Submission Date
March 31, 2022
Acceptance Date
September 28, 2022
Published in Issue
Year 2023 Volume: 52 Number: 3