Results 61 to 70 of about 2,050 (154)

Peano-like bounds for some Newton-Cotes formulae [PDF]

arXiv, 2003
An error analysis for some Newton-Cotes quadrature formulae is presented. Peano-like error bounds are obtained. They are generally, but not always, better than the usual Peano bounds.
arxiv  

Estimates for an integral in Lp norm of the (n+1)-th derivative of its integrand [PDF]

, 2000
Basing on Taylor’s formula with an integral remaider, an integral is estimated in Lp norm of the (n + 1)-th derivative of its integrand, and the Iyengar’s inequality and many other useful inequalities are ...
Guo, Bai-Ni, Qi, Feng
core  

Dilation Type Inequalities for Strongly-Convex Sets in Weighted Riemannian Manifolds

Analysis and Geometry in Metric Spaces, 2021
In this paper, we consider a dilation type inequality on a weighted Riemannian manifold, which is classically known as Borell’s lemma in high-dimensional convex geometry.
Tsuji Hiroshi
doaj   +1 more source

The Median Principle for Inequalities and Applications [PDF]

arXiv, 2003
The median principle is applied for different integral inequalities of Gruss and Ostrowski type.
arxiv  

A completely monotonic function involving the tri- and tetra-gamma functions

, 2010
The psi function $\psi(x)$ is defined by $\psi(x)=\frac{\Gamma'(x)}{\Gamma(x)}$ and $\psi^{(i)}(x)$ for $i\in\mathbb{N}$ denote the polygamma functions, where $\Gamma(x)$ is the gamma function.
Guo, Bai-Ni, Qi, Feng
core   +1 more source

Strongly MφMψ -Convex Functions, The Hermite–Hadamard–Fejér Inequality and Related Results

Annales Mathematicae Silesianae
We present Hermite–Hadamard–Fejér type inequalities for strongly MφMψ -convex functions. Some refinements of them and bounds for the integral mean of the product of two functions are also obtained.
Bombardelli Mea, Varošanec Sanja
doaj   +1 more source

Error inequalities for an optimal 3-point quadrature formula of closed type [PDF]

arXiv, 2003
An optimal 3-point quadrature formula of closed type is derived. Various error inequalities are established. Applications in numerical integration are also given.
arxiv  

Inequalities for Stieltjes Integrals with Convex Integrators and Applications [PDF]

, 2005
Inequalities for a Grüss type functional in terms of Stieltjes integrals with convex integrators are given.
Dragomir, Sever S
core  

$L_p$-Bounds for the \v{C}eby\v{s}ev functional

, 2023
In this paper several new bounds for the \v{C}eby\v{s}ev functional involving $L_p$-norm are presented.Comment: This work contains inaccurate results. Some results do not hold.
Alomari, Mohammad W.
core  

On the Chebyshev's Inequality for Weighted Means [PDF]

arXiv, 2003
Some new sufficient conditions for the weighted Chebyshev's inequality for real numbers to hold are provided.
arxiv