Новая и новейшая история.
Федеральное государственное бюджетное учреждение "Российская академия наук".
Vol. 65.
2021.
P. 93-108
Extended Jensen's Functional for Diamond Integral via Hermite Polynomial
In this paper, with the help of Hermite interpolating polynomial, extension of Jensen's functional for n-convex function is deduced from Jensen's inequality involving diamond integrals. Special Hermite conditions, including Taylor two-point formula and Lagrange's interpolation, are also deployed to find further extensions of Jensen's functional. The paper also includes discussion on bounds for Grüss-type inequality, Ostrowski-type inequality, and Čebyšev functional associated with newly defined Jensen's functional. © 2021 Rabia Bibi et al.
Authors
Bibi R.1
,
Bibi F.2
,
Nosheen A.2
,
Pečarić J.
3
Journal
Publisher
Hindawi Limited
Language
English
Status
Published
Link
Number
5926739
Volume
2021
Year
2021
Organizations
- 1 Department of Mathematics, Abbottabad University of Science and Technology, Havelian, Abbottabad, Pakistan
- 2 Department of Mathematics and Statistics, University of Lahore, Sargodha Sub-Campus, Pakistan
- 3 Rudn University, 6 Miklukho-Maklay St, Moscow, 117198, Russian Federation
Date of creation
16.12.2021
Date of change
16.12.2021
Share
Other records
Bogoslovni Vestnik.
Univerza v Ljubljani.
Vol. 81.
2021.
P. 57-74