Results 11 to 20 of about 3,076,377 (57)
New Bounds for the Čebyšev Functional [PDF]
In this paper some new inequalities for the Čebyšev functional are presented.
Cerone, Pietro, Dragomir, Sever S
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A Sharp Bound of the Čebyšev Functional for the Riemann-Stieltjes Integral and Applications [PDF]
A new sharp bound of the Čebyšev functional for the Riemann- Stieltjes integral is obtained.
Dragomir, Sever S
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Schur-Convexity and Schur-Geometric Convexity of Čebyšev Functional
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
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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
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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
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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
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Generalizations of Sherman’s inequality by Lidstone’s interpolating polynomial
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
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Extensions and improvements of Sherman’s and related inequalities for n-convex functions
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
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Generalizations of Steffensen’s inequality via two-point Abel-Gontscharoff polynomial
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
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Popoviciu type inequalities for n-convex functions via extension of Montgomery identity
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
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