Results 51 to 60 of about 93 (89)

New Variations and Structural Refinements of Discrete Weighted Jensen and Hermite–Hadamard Inequalities Using (α, m)‐Convex Mappings

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This article develops new Hermite–Hadamard and Jensen‐type inequalities for the class of (α, m)‐convex functions. New product forms of Hermite–Hadamard inequalities are established, covering multiple distinct scenarios. Several nontrivial examples and remarks illustrate the sharpness of these results and demonstrate how earlier inequalities can be ...
Shama Firdous   +5 more
wiley   +1 more source

Two-point Ostrowski and Ostrowski–Grüss type inequalities with applications [PDF]

open access: yesThe Journal of Analysis, 2019
In this work, an extension of two-point Ostrowski's formula for $n$-times differentiable functions is proved. A generalization of Taylor formula is deduced. An identity of Fink type for this extension is provided. Error estimates for the considered formulas are also given. Two-point Ostrowski-Gruss type inequalities are pointed out.
openaire   +3 more sources

Perturbations of an Ostrowski type inequality and applications [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
Two perturbations of an Ostrowski type inequality are established. New error bounds for the mid‐point, trapezoid, and Simpson quadrature rules are derived. These error bounds can be much better than some recently obtained bounds. Applications in numerical integration are also given.
openaire   +4 more sources

A companion for the Ostrowski and the generalised trapezoid inequalities

open access: yesMathematical and Computer Modelling, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
N. S. Barnett   +2 more
openaire   +3 more sources

NEW WEIGHTED OSTROWSKI AND OSTROWSKI-GRÜSS TYPE INEQUALITIES ON TIME SCALES

open access: yesAnnals of the Alexandru Ioan Cuza University - Mathematics, 2014
Abstract In this paper we derive new weighted Ostrowski and Ostrowski-Grüss type inequalities on time scales. Some other interesting inequalities on time scales are also given as special cases.
Liu, Wenjun, Tuna, Adnan, Jiang, Yong
openaire   +3 more sources

THE BEST CONSTANT IN AN INEQUALITY OF OSTROWSKI TYPE

open access: yesTamkang Journal of Mathematics, 1999
We prove the constant $\frac{1}{2}$ in Dragomir-Wang's inequality [2] is best.
Peachey, Tom   +2 more
openaire   +3 more sources

High order Ostrowski type inequalities

open access: yesApplied Mathematics Letters, 2007
By using a generalized Euler type identity and the way of analysis, the Ostrowski inequality is extended for high-order derivatives. Some of the inequalities produced are sharp. Some applications to trapezoidal and mid-point rules are given. For some particular integers, some estimates are given with respect to \(L_\infty\)-norm.
openaire   +2 more sources

Conformal Geometry of Horn Angles. [PDF]

open access: yesProc Natl Acad Sci U S A, 1936
Kasner E, Comenetz G.
europepmc   +1 more source

A converse to the ostrowski-taussky determinantai inequality

open access: yesLinear Algebra and its Applications, 1983
AbstractAn equality due to Ostrowski and Taussky compares the determinant of a matrix A with that of its Hermitian part (A + A∗)2, under certain conditions. A converse is now found for this inequality.
openaire   +2 more sources

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