Bounds on the deviation of a function from its averages
From MaRDI portal
Publication:3135928
DOI10.21136/cmj.1992.128336zbMath0780.26011OpenAlexW1579813383MaRDI QIDQ3135928
Publication date: 21 September 1993
Full work available at URL: https://eudml.org/doc/31283
Related Items (57)
Generalization of cyclic refinements of Jensen's inequality by Fink's identity ⋮ Extensions and improvements of Sherman's and related inequalities for \(n\)-convex functions ⋮ Sherman's inequality and its converse for strongly convex functions with applications to generalized f-divergences ⋮ An identity of Fink type for the integral of analytic complex functions on paths from general domains ⋮ Generalization of Popoviciu-type inequalities via Fink identity ⋮ On Generalizations of Ostrowski Inequality and Some Related Results ⋮ Chebyshev-Grüss type inequalities via Euler type and Fink identities ⋮ Refinements and generalizations of majorization, Favard and Berwald-type inequalities via Fink identity ⋮ Estimation of divergences on time scales via the Green function and Fink's identity ⋮ Differences between means with bounds from a Riemann-Stieltjes integral ⋮ Generalization of cyclic refinements of Jensen inequality by montgomery identity and Green’s function ⋮ New generalizations of Popoviciu type inequalities via new Green functions and Fink's identity ⋮ On generalization of refinement of Jensen's inequality using Fink's identity and Abel-gontscharoff Green function ⋮ On Beesack-Wirtinger inequality ⋮ Two-point Ostrowski's inequality ⋮ Ostrowski and Landau inequalities for Banach space valued functions ⋮ Generalizations of Sherman's inequality via Fink's identity and Green's function ⋮ A Survey of Perturbed Ostrowski Type Inequalities ⋮ General Lebesgue integral inequalities of Jensen and Ostrowski type for differentiable functions whose derivatives in absolute value are h-convex and applications ⋮ Perturbed companions of Ostrowski's inequality for absolutely continuous functions. I ⋮ On a general approach to some problems of approximation of operators ⋮ Extensions in time scales integral inequalities of Jensen's type via Fink's identity ⋮ Ostrowski's type inequalities for some classes of continuous functions of selfadjoint operators in Hilbert spaces ⋮ Weighted Hermite-Hadamard-type inequalities for generalizations of Steffensen’s inequality via the extension of Mongomery identity ⋮ Ostrowski's inequality for vector-valued functions and applications. ⋮ Refinements of the majorization theorems via Fink identity and related results ⋮ Integral inequalities of the Hermite-Hadamard type for \(K\)-bounded norm-convex mappings ⋮ Some Weighted Inequalities for Higher-Order Partial Derivatives in Two Dimensions and Its Applications ⋮ Ostrowski type inequalities for functions whose derivatives are \(h\)-convex in absolute value ⋮ Taylor-Widder representation formulae and Ostrowski, Grüss, integral means and Csiszar type inequalities ⋮ On Ostrowski type inequalities for Stieltjes integrals with absolutely continuous integrands and integrators of bounded variation ⋮ Trapezoidal type inequalities for \(n\)-time differentiable functions ⋮ Multivariate Fink type identity and multivariate Ostrowski, comparison of means and Grüss type inequalities ⋮ A Unified Approach to Several Inequalities Involving Functions and Derivatives ⋮ Two-point Ostrowski and Ostrowski-Grüss type inequalities with applications ⋮ Sharp integral inequalities of the Hermite-Hadamard type ⋮ Positivity of sums and integrals for n-convex functions via the Fink identity ⋮ On some inequalities for convex functions of higher order. II ⋮ Weighted version of multivariate Ostrowski type inequalities ⋮ A general Ostrowski-type inequality ⋮ Ostrowski Type Inequalities ⋮ Uniform treatment of Jensen's inequality by Montgomery identity ⋮ Generalized multivariate Fink-type identity and some related results on time scales with applications ⋮ Guessab-Schmeisser inequality via Fink identity on time scales with applications ⋮ Estimates on the gap in Bullen's inequality ⋮ Selfadjoint operator Chebyshev–Grüss type inequalities ⋮ Majorization inequalities via Green functions and Fink's identity with applications to Shannon entropy ⋮ Refinements of some Hardy-Littlewood-Pólya type inequalities via Green's functions and Fink's identity and related results ⋮ Generalization of Popoviciu type Inequalities via Green's function and Fink's identity ⋮ New generalized convexity and their applications ⋮ Some new Iyengar type inequalities ⋮ Multiplicative Ostrowski and Trapezoid Inequalities ⋮ A Survey on Ostrowski Type Inequalities for Riemann–Stieltjes Integral ⋮ Estimation of different entropies via Abel–Gontscharoff Green functions and Fink’s identity using Jensen type functionals ⋮ Harmonic multivariate Ostrowski and Grüss type inequalities for several functions ⋮ Some inequalities for probability, expectation, and variance of random variables defined over a finite interval ⋮ Comparing two integral means for absolutely continuous mappings whose derivatives are in \(L_\infty[a,b\) and applications]
Cites Work
This page was built for publication: Bounds on the deviation of a function from its averages
