Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Ðilda Pec̆arić"'
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 2021, Iss 1, Pp 1-19 (2021)
Abstract Hermite’s interpolation is utilized to establish a new generalization of an inequality for higher order convex functions containing Csiszár divergence on time scales. New entropic bounds in q-calculus and h-discrete calculus are also dedu
Externí odkaz:
https://doaj.org/article/19ad7209fef849e5b697a276d4b2b063
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-24 (2021)
Abstract Taylor’s polynomial and Green’s function are used to obtain new generalizations of an inequality for higher order convex functions containing Csiszár divergence on time scales. Various new inequalities for some divergence measures in qu
Externí odkaz:
https://doaj.org/article/14cc3280ec944abca16be3d6b749d7b0
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-17 (2021)
Abstract The aim of the present paper is to obtain new generalizations of an inequality for n-convex functions involving Csiszár divergence on time scales using the Green function along with Fink’s identity. Some new results in h-discrete calculus
Externí odkaz:
https://doaj.org/article/96ae11f648684faa876c9c638b54a24e
Publikováno v:
Journal of Inequalities and Applications, Vol 2021, Iss 1, Pp 1-21 (2021)
Abstract The main purpose of the presented paper is to obtain some time scale inequalities for different divergences and distances by using weighted time scales Jensen’s inequality. These results offer new inequalities in h-discrete calculus and qu
Externí odkaz:
https://doaj.org/article/9df514509ed04762a50cb5f67cb3d929
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-21 (2020)
Abstract In this paper, we present some inequalities for Csiszár f-divergence between two probability measures on time scale. These results extend some known results in the literature and offer new results in h-discrete calculus and quantum calculus
Externí odkaz:
https://doaj.org/article/f781c6e846544af990812d42f1fb3e40
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-15 (2020)
Abstract By using new Green’s functions and Lidstone interpolating polynomial, some new generalizations of Levinson type inequalities for (2p+1) $(2p+1)$-convex functions are obtained. In seek of applications of our results to information theory, n
Externí odkaz:
https://doaj.org/article/e7b78cd1b9864c179461d29b8df250a5
Publikováno v:
Journal of Inequalities and Applications, Vol 2019, Iss 1, Pp 1-14 (2019)
Abstract In this paper, we present some interesting results related to the bounds of the Shannon and the Zipf–Mandelbrot entropies. Further, we define linear functionals and present their properties. We also construct new family of exponentially co
Externí odkaz:
https://doaj.org/article/3f94ad7ffeee479393c598bbb1c54676
Publikováno v:
Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-22 (2018)
Abstract Jensen’s inequality is important for obtaining inequalities for divergence between probability distribution. By applying a refinement of Jensen’s inequality (Horváth et al. in Math. Inequal. Appl. 14:777–791, 2011) and introducing a n
Externí odkaz:
https://doaj.org/article/f13a1074612d418eacbac522cb5012d0
Publikováno v:
Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-16 (2020)
Abstract Levinson type inequalities are generalized by using Hermite interpolating polynomial for the class of n $\mathfrak{n}$ -convex functions. In seek of application to information theory, some estimates for new functional are obtained based on f
Externí odkaz:
https://doaj.org/article/4df7a17c2f7846b5ae9b3252bba82f28