Zobrazeno 1 - 10
of 105
pro vyhledávání: '"Josip Pečaric"'
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-19 (2024)
Abstract In this study, Levinson-type inequalities for the class of n-convex ( n ≥ 3 $n \geq 3$ ) functions are generalized using new Green functions and the Hermite interpolating polynomial involving two types of data points. Some estimations for
Externí odkaz:
https://doaj.org/article/cfa25b5c33bb4aa68145ef6c50d60d28
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-19 (2023)
Abstract In this paper, four new Green functions are used to generalize Levinson-type inequalities for the class of 3-convex functions. The f-divergence, Renyi entropy, Renyi divergence, Shannon entropy, and the Zipf–Mandelbrot law are also used to
Externí odkaz:
https://doaj.org/article/74758569c5f04a43b39818c179ee0480
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-22 (2023)
Abstract In this paper, Csiszár f-divergence via diamond integral is introduced and some inequalities related to Csiszár f-divergence involving diamond integrals are presented. Some examples are presented for different divergence measures by fixing
Externí odkaz:
https://doaj.org/article/76113d9e64aa48319cfc23ff0822cbd6
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-19 (2023)
Abstract The paper generalizes Shannon-type inequalities for diamond integrals. It includes two-dimensional Hölder’s inequality and Cauchy–Schwartz’s inequality, which help to prove weighted Grüss’s inequality for diamond integrals. Jensen
Externí odkaz:
https://doaj.org/article/b276e1732d4143e783dd3e140d2e4ce5
Publikováno v:
Mathematics, Vol 11, Iss 16, p 3570 (2023)
New Steffensen-type inequalities are obtained by combining generalized Taylor expansions, Rabier and Pečarić extensions of Steffensen’s inequality and Faà di Bruno’s formula for higher order derivatives of the composition.
Externí odkaz:
https://doaj.org/article/c1b10f1e37c5424d95bf4fe7c999bfaa
Autor:
Anita Matković, Josip Pečarić
Publikováno v:
Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-9 (2020)
Abstract We consider the discrete Jensen–Mercer inequality and Čebyšev’s inequality of the Mercer type. We establish bounds for Čebyšev’s functional of the Mercer type and bounds for the Jensen–Mercer functional in terms of the discrete O
Externí odkaz:
https://doaj.org/article/779f5622dbd9423daa0a19d7189628f8
Publikováno v:
AIMS Mathematics, Vol 5, Iss 6, Pp 7332-7349 (2020)
The main objective of this paper is to compute refinements of bounds of the generalized fractional integral operators containing an extended generalized Mittag-Leffler function in their kernels. The presented results also provide refinements of alrea
Externí odkaz:
https://doaj.org/article/a7a3e5e15ba049a49213c8cb033c4fc2
Publikováno v:
Arab Journal of Mathematical Sciences, Vol 26, Iss 1/2, Pp 15-39 (2020)
In this work, we estimated the different entropies like Shannon entropy, Rényi divergences, Csiszár divergence by using Jensen’s type functionals. The Zipf’s–Mandelbrot law and hybrid Zipf’s–Mandelbrot law are used to estimate the Shannon
Externí odkaz:
https://doaj.org/article/f319bd4d655749739e8a2703586e3943
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-16 (2020)
Abstract In this paper we give generalized results of a majorization inequality by using extension of the Montgomery identity and newly defined Green’s functions (Mehmood et al. in J. Inequal. Appl. 2017(1):108, 2017). We obtain a generalized major
Externí odkaz:
https://doaj.org/article/37f162a0e4f44e958295bff740069bfd
Publikováno v:
Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-14 (2020)
Abstract This paper is devoted to obtain generalized results related to majorization-type inequalities by using well-known Fink’s identity and new types of Green functions, introduced by Mehmood et al. (J. Inequal. Appl. 2017:108, 2017). We give a
Externí odkaz:
https://doaj.org/article/8cfdb46ab5b748f3ba2fa1ba9b1a3337