Research Article

Convexity and double-sided Taylor's approximations

Volume: 52 Number: 3 May 30, 2023
EN

Convexity and double-sided Taylor's approximations

Abstract

Using convexity and double-sided Taylor's approximations of functions, we establish new general results in this field which can be used to refine and/or sharp some analytic inequalities in the existing literature.

Keywords

References

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  4. [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. [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. [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. [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. [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

Publication Date

May 30, 2023

Submission Date

March 31, 2022

Acceptance Date

September 28, 2022

Published in Issue

Year 2023 Volume: 52 Number: 3

APA
Bagul, Y., Chesneau, C., Kostic, M., Lutovac, T., Malesevic, B., & Rašajski, M. (2023). Convexity and double-sided Taylor’s approximations. Hacettepe Journal of Mathematics and Statistics, 52(3), 560-571. https://doi.org/10.15672/hujms.1096357
AMA
1.Bagul Y, Chesneau C, Kostic M, Lutovac T, Malesevic B, Rašajski M. Convexity and double-sided Taylor’s approximations. Hacettepe Journal of Mathematics and Statistics. 2023;52(3):560-571. doi:10.15672/hujms.1096357
Chicago
Bagul, Yogesh, Christophe Chesneau, Marko Kostic, Tatjana Lutovac, Branko Malesevic, and Marija Rašajski. 2023. “Convexity and Double-Sided Taylor’s Approximations”. Hacettepe Journal of Mathematics and Statistics 52 (3): 560-71. https://doi.org/10.15672/hujms.1096357.
EndNote
Bagul Y, Chesneau C, Kostic M, Lutovac T, Malesevic B, Rašajski M (May 1, 2023) Convexity and double-sided Taylor’s approximations. Hacettepe Journal of Mathematics and Statistics 52 3 560–571.
IEEE
[1]Y. Bagul, C. Chesneau, M. Kostic, T. Lutovac, B. Malesevic, and M. Rašajski, “Convexity and double-sided Taylor’s approximations”, Hacettepe Journal of Mathematics and Statistics, vol. 52, no. 3, pp. 560–571, May 2023, doi: 10.15672/hujms.1096357.
ISNAD
Bagul, Yogesh - Chesneau, Christophe - Kostic, Marko - Lutovac, Tatjana - Malesevic, Branko - Rašajski, Marija. “Convexity and Double-Sided Taylor’s Approximations”. Hacettepe Journal of Mathematics and Statistics 52/3 (May 1, 2023): 560-571. https://doi.org/10.15672/hujms.1096357.
JAMA
1.Bagul Y, Chesneau C, Kostic M, Lutovac T, Malesevic B, Rašajski M. Convexity and double-sided Taylor’s approximations. Hacettepe Journal of Mathematics and Statistics. 2023;52:560–571.
MLA
Bagul, Yogesh, et al. “Convexity and Double-Sided Taylor’s Approximations”. Hacettepe Journal of Mathematics and Statistics, vol. 52, no. 3, May 2023, pp. 560-71, doi:10.15672/hujms.1096357.
Vancouver
1.Yogesh Bagul, Christophe Chesneau, Marko Kostic, Tatjana Lutovac, Branko Malesevic, Marija Rašajski. Convexity and double-sided Taylor’s approximations. Hacettepe Journal of Mathematics and Statistics. 2023 May 1;52(3):560-71. doi:10.15672/hujms.1096357

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