Tasadduq Niaz
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Research Interests
Tasadduq Niaz has a total of 5 co-authors. Here are the top co-authors by number of shared publications:
- Josip Pečarić
Croatian Academy of Sciences and Arts, Zagreb, Croatia
5 shared publications - Khuram Ali Khan
University of Sargodha
4 shared publications - Ðilda Pečarić
Department of Media and Communication, University North, 48000 Koprivnica, Croatia
3 shared publications Dilda Pecaric
Catholic University of Croatia, Ilica 242, Zagreb, Croatia
1 shared publicationKhuram Ali Khan
Univeristy of Sargodha, Sargodha
1 shared publication
Latest Publications
- 12 June 2020
- Published by Springer Nature in The Journal of Analysis
- Vol. 29 (1) , 15-46
Estimation of different entropies via Hermite interpolating polynomial using Jensen type functionals
- 12 June 2020
- Published by Springer Nature in The Journal of Analysis
- Vol. 29 (1) , 15-46
Estimation of different entropies via Hermite interpolating polynomial using Jensen type functionals
- Open Access
- 18 February 2020
- Published by Springer Nature in Arabian Journal of Mathematics
- Vol. 9 (3) , 613-631
Estimation of different entropies via Lidstone polynomial using Jensen-type functionals
In this work, some new functional of Jensen-type inequalities are constructed using Shannon entropy, f-divergence, and Rényi divergence, and some estimates are obtained for these new functionals. Also using the Zipf–Mandelbrot law and hybrid Zipf–Mandelbrot law, we investigate some bounds for these new functionals. Furthermore, we generalize these new functionals for m-convex function using Lidstone polynomial.
- 18 February 2020
- Published by Springer Nature in Arabian Journal of Mathematics
- Vol. 9 (3) , 613-631
Open AccessEstimation of different entropies via Lidstone polynomial using Jensen-type functionals
In this work, some new functional of Jensen-type inequalities are constructed using Shannon entropy, f-divergence, and Rényi divergence, and some estimates are obtained for these new functionals. Also using the Zipf–Mandelbrot law and hybrid Zipf–Mandelbrot law, we investigate some bounds for these new functionals. Furthermore, we generalize these new functionals for m-convex function using Lidstone polynomial.
- Open Access
- 1 January 2019
- Published by SCIK Publishing Corporation in International Journal of Analysis and Applications
- Vol. 17 (5) , 686-710-710
Estimation of Different Entropies via Taylor One Point and Taylor Two Points Interpolations Using Jensen Type Functionals
Estimation of Different Entropies via Taylor One Point and Taylor Two Points Interpolations Using Jensen Type Functionals
- 1 January 2019
- Published by SCIK Publishing Corporation in International Journal of Analysis and Applications
- Vol. 17 (5) , 686-710-710
Open AccessEstimation of Different Entropies via Taylor One Point and Taylor Two Points Interpolations Using Jensen Type Functionals
Estimation of Different Entropies via Taylor One Point and Taylor Two Points Interpolations Using Jensen Type Functionals
- Open Access
- 19 November 2018
- Published by Springer Nature in Journal of Inequalities and Applications
- Vol. 2018 (1) , 1-22
Refinement of Jensen’s inequality and estimation of f- and Rényi divergence via Montgomery identity
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 new functional based on an f-divergence functional, we obtain some estimates for the new functionals, the f-divergence, and Rényi divergence. Some inequalities for Rényi and Shannon estimates are constructed. The Zipf–Mandelbrot law is used to illustrate the result. In addition, we generalize the refinement of Jensen’s inequality and new inequalities of Rényi Shannon entropies for an m-convex function using the Montgomery identity. It is also given that the maximization of Shannon entropy is a transition from the Zipf–Mandelbrot law to a hybrid Zipf–Mandelbrot law.
- 19 November 2018
- Published by Springer Nature in Journal of Inequalities and Applications
- Vol. 2018 (1) , 1-22
Open AccessRefinement of Jensen’s inequality and estimation of f- and Rényi divergence via Montgomery identity
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 new functional based on an f-divergence functional, we obtain some estimates for the new functionals, the f-divergence, and Rényi divergence. Some inequalities for Rényi and Shannon estimates are constructed. The Zipf–Mandelbrot law is used to illustrate the result. In addition, we generalize the refinement of Jensen’s inequality and new inequalities of Rényi Shannon entropies for an m-convex function using the Montgomery identity. It is also given that the maximization of Shannon entropy is a transition from the Zipf–Mandelbrot law to a hybrid Zipf–Mandelbrot law.
- Open Access
- 10 October 2017
- Published by Springer Nature in Journal of Inequalities and Applications
- Vol. 2017 (1) , 254
On generalization of refinement of Jensen’s inequality using Fink’s identity and Abel-Gontscharoff Green function
In this paper, we formulate new Abel-Gontscharoff type identities involving new Green functions for the ‘two-point right focal’ problem. We use Fink’s identity and a new Abel-Gontscharoff-type Green’s function for a ‘two-point right focal’ to generalize the refinement of Jensen’s inequality given in (Horváth and Pečarić in Math. Inequal. Appl. 14: 777-791, 2011) from convex function to higher order convex function. Also we formulate the monotonicity of the linear functional obtained from these identities using the recent theory of inequalities for n-convex function at a point. Further we give the bounds for the identities related to the generalization of the refinement of Jensen’s inequality using inequalities for the Cebyšev functional. Some results relating to the Grüss and Ostrowski-type inequalities are constructed.
- 10 October 2017
- Published by Springer Nature in Journal of Inequalities and Applications
- Vol. 2017 (1) , 254
Open AccessOn generalization of refinement of Jensen’s inequality using Fink’s identity and Abel-Gontscharoff Green function
In this paper, we formulate new Abel-Gontscharoff type identities involving new Green functions for the ‘two-point right focal’ problem. We use Fink’s identity and a new Abel-Gontscharoff-type Green’s function for a ‘two-point right focal’ to generalize the refinement of Jensen’s inequality given in (Horváth and Pečarić in Math. Inequal. Appl. 14: 777-791, 2011) from convex function to higher order convex function. Also we formulate the monotonicity of the linear functional obtained from these identities using the recent theory of inequalities for n-convex function at a point. Further we give the bounds for the identities related to the generalization of the refinement of Jensen’s inequality using inequalities for the Cebyšev functional. Some results relating to the Grüss and Ostrowski-type inequalities are constructed.