Results 21 to 30 of about 3,076,377 (57)
Integral Majorization Type Inequalities for the Functions in the Sense of Strong Convexity
Journal 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
New Upper and Lower Bounds for the Čebyšev Functional
, 2002 New bounds are developed for the Čebyšev functional utilising an identity involving a Riemann-Stieltjes integral. A refinement of the classical Čebyšev inequality is produced for f monotonic non-decreasing, g continuous and M(g; t, b) −M(g; a, t) ≥ 0 ...
Cerone, Pietro, Dragomir, Sever S
core +6 more sources
On New Generalized Ostrowski Type Integral Inequalities
Abstract 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
Chinese Journal of Mathematics, Volume 2014, Issue 1, 2014., 2014 Several new error bounds for the Čebyšev functional under various assumptions are proved. Applications for functions of self‐adjoint operators on complex Hilbert spaces are provided as well.
Mohammad W. Alomari +1 more
wiley +1 more source
A Sharp Bound for the Čebyšev Functional of Convex or Concave Functions
Chinese Journal of Mathematics, Volume 2013, Issue 1, 2013., 2013 A sharp bound for the Čebyšev functional of convex or concave functions is proved.
Mohammad W. Alomari +3 more
wiley +1 more source
Generalization of cyclic refinements of Jensen’s inequality by Fink’s identity
Journal of Inequalities and Applications, 2018 We generalize cyclic refinements of Jensen’s inequality from a convex function to a higher-order convex function by means of Lagrange–Green’s function and Fink’s identity.
Nasir Mehmood +3 more
doaj +1 more source
On projection constant problems and the existence of metric projections in normed spaces
Abstract and Applied Analysis, Volume 6, Issue 7, Page 401-411, 2001., 2001 We give the sufficient conditions for the existence of a metric projection onto convex closed subsets of normed linear spaces which are reduced conditions than that in the case of reflexive Banach spaces and we find a general formula for the projections onto the maximal proper subspaces of the classical Banach spaces l p, 1 ≤ p < ∞ and c 0.
Entisarat El-Shobaky +2 more
wiley +1 more source
New bounds for the Čebyšev functional [PDF]
, 2005 In this paper some new inequalities for the Čebyšev functional are presented.
Cerone, P., Dragomir, S.S.
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Integral Inequalities and Applications for Bounding the Čebyšev Functional [PDF]
, 2007 Some inequalities related to the Hölder integral inequality and applications for bounding the Čebyšev functional are ...
Cerone, Pietro, Dragomir, Sever S
core +4 more sources
Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12567-12576, August 2025.ABSTRACT The significance of the Jensen inequality stems from its impactful and compelling outcomes. As a generalization of classical convexity, it plays a key role in deriving other well‐known inequalities such as Hermite–Hadamard, Hölder, Minkowski, arithmetic‐geometric, and Young's inequalities.
İzzettin Demir
wiley +1 more source