Results 21 to 30 of about 186 (116)

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

On some Chebyshev type inequalities for the complex integral [PDF]

open access: yes, 2019
Assume that f and g are continuous on γ, γ ⊂ C is a piecewisesmooth path parametrized by z (t) , t ∈ [a, b] from z (a) = u to z (b) = w withw 6= u, and the complex Chebyshev functional is defined bySean f y g funciones continuas sobre γ, siendo γ ⊂ C un ...
Dragomir, Sever S
core   +3 more sources

Some integral inequalities for operator monotonic functions on Hilbert spaces [PDF]

open access: yes, 2020
Let f be an operator monotonic function on I and A, B∈I (H), the class of all selfadjoint operators with spectra in I. Assume that p : [0.1], →ℝ is non-decreasing on [0, 1].
Dragomir, Sever S
core   +1 more source

Integral Majorization Type Inequalities for the Functions in the Sense of Strong Convexity

open access: yesJournal of Function Spaces, Volume 2019, Issue 1, 2019., 2019
In this article, we establish several integral majorization type and generalized Favard’s inequalities for the class of strongly convex functions. Our results generalize and improve the previous known results.
Syed Zaheer Ullah   +4 more
wiley   +1 more source

Cebyšev’s type inequalities for positive linear maps of selfadjoint operators in Hilbert spaces [PDF]

open access: yes, 2017
Some inequalities for positive linear maps of continuous synchronous (asynchronous) functions of selfadjoint linear operators in Hilbert spaces, under suitable assumptions for the involved operators, are given.
Dragomir, Sever S
core   +2 more sources

On New Generalized Ostrowski Type Integral Inequalities

open access: yesAbstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
The Ostrowski inequality expresses bounds on the deviation of a function from its integral mean. The aim of this paper is to establish some new inequalities similar to the Ostrowski′s inequality. The current paper obtains bounds for the deviation of a function from a combination of integral means over the end intervals covering the entire interval in ...
A. Qayyum   +4 more
wiley   +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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