Results 11 to 20 of about 3,076,377 (57)

New Bounds for the Čebyšev Functional [PDF]

open access: yes, 2003
In this paper some new inequalities for the Čebyšev functional are presented.
Cerone, Pietro, Dragomir, Sever S
core   +6 more sources

A Sharp Bound of the Čebyšev Functional for the Riemann-Stieltjes Integral and Applications [PDF]

open access: yes, 2007
A new sharp bound of the Čebyšev functional for the Riemann- Stieltjes integral is obtained.
Dragomir, Sever S
core   +6 more sources

Schur-Convexity and Schur-Geometric Convexity of Čebyšev Functional

open access: yes, 2009
The Schur-convexity or concavity and the Schur-geometric convexity or concavity of the Čebyšev Functional on the upper and lower limits of the integral are discussed.
Zhang, Jian, Shi, Huan-Nan
core   +6 more sources

Difference equations related to majorization theorems via Montgomery identity and Green’s functions with application to the Shannon entropy

open access: yesAdvances in Difference Equations, 2020
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 majorization theorem
Nouman Siddique   +3 more
doaj   +1 more source

Refinements of some Hardy–Littlewood–Pólya type inequalities via Green’s functions and Fink’s identity and related results

open access: yesJournal of Inequalities and Applications, 2020
In this paper, first we present some interesting identities associated with Green’s functions and Fink’s identity, and further we present some interesting inequalities for r-convex functions.
Sadia Khalid, Josip Pečarić
doaj   +1 more source

Majorization inequalities via Green functions and Fink’s identity with applications to Shannon entropy

open access: yesJournal of Inequalities and Applications, 2020
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).
Nouman Siddique   +3 more
doaj   +1 more source

Generalizations of Sherman’s inequality by Lidstone’s interpolating polynomial

open access: yesJournal of Inequalities and Applications, 2016
In majorization theory, the well-known majorization theorem plays a very important role. A more general result was obtained by Sherman. In this paper, concerning 2n-convex functions, we get generalizations of these results applying Lidstone’s ...
Ravi P Agarwal   +2 more
doaj   +1 more source

Extensions and improvements of Sherman’s and related inequalities for n-convex functions

open access: yesOpen Mathematics, 2017
This paper gives extensions and improvements of Sherman’s inequality for n-convex functions obtained by using new identities which involve Green’s functions and Fink’s identity.
Bradanović Slavica Ivelić   +1 more
doaj   +1 more source

Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
Using two-point Abel-Gontscharoff interpolating polynomial some new generalizations of Steffensen’s inequality for n−convex functions are obtained and some Ostrowski-type inequalities related to obtained generalizations are given.
Pečarić Josip   +2 more
doaj   +1 more source

Popoviciu type inequalities for n-convex functions via extension of Montgomery identity

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
Extension of Montgomery's identity is used in derivation of Popoviciu-type inequalities containing sums , where f is an n-convex function. Integral analogues and some related results for n-convex functions at a point are also given, as well as Ostrowski ...
Khan Asif R.   +2 more
doaj   +1 more source

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