Results 21 to 30 of about 31,286 (240)

Generalization of Montgomery identity via Taylor formula on time scales

open access: yesJournal of Inequalities and Applications, 2022
In the current paper, a generalized Montgomery identity is obtained with the help of Taylor’s formula on time scales. The obtained identity is used to establish Ostrowski inequality, mid-point inequality, and trapezoid inequality.
Sumaiya Malik   +3 more
doaj   +1 more source

On the vibration of the block base under many parallel plane mechanisms

open access: yesVietnam Journal of Mechanics, 1992
In this paper the vibration equations of the block base under many parallel plane mechanisms were established. Using the Taylor's formula and neglecting the nonlinear terms we obtain the linear vibration equations having periodic coefficients.
Nguyen Van Khang
doaj   +1 more source

On defining the distributions δr $\delta^{r}$ and (δ′)r $(\delta ^{\prime})^{r}$ by conformable derivatives

open access: yesAdvances in Difference Equations, 2018
In this paper, starting from a fixed δ-sequence, we use the generalized Taylor’s formula based on conformable derivatives and the neutrix limit to find the powers of the Dirac delta function δr $\delta ^{r}$ and (δ′)r $(\delta^{\prime})^{r}$ for any r∈R $
Fahd Jarad   +3 more
doaj   +1 more source

Asymptotic Lipschitz regularity for tug-of-war games with varying probabilities [PDF]

open access: yes, 2018
We prove an asymptotic Lipschitz estimate for value functions of tug-of-war games with varying probabilities defined in $\Omega\subset \mathbb R^n$. The method of the proof is based on a game-theoretic idea to estimate the value of a related game defined
Arroyo, Ángel   +3 more
core   +2 more sources

An asymptotic expansion of the solution of a semi-linear partial differential equation implied by a nonlinear Feynman–Kac formula

open access: yesInternational Journal of Mathematics for Industry
This paper introduces an asymptotic expansion for the smooth solution of a semi-linear partial differential equation. Our scheme is based on Itô’s formula, Taylor’s expansion, nonlinear Feynman–Kac formula and some algebras.
Kaori Okuma
doaj   +1 more source

Positive Definiteness of High-Order Subdifferential and High-Order Optimality Conditions in Vector Optimization Problems

open access: yesAbstract and Applied Analysis, 2013
We obtain a new Taylor's formula in terms of the order subdifferential of a function from to . As its applications in optimization problems, we build order sufficient optimality conditions of this kind of functions and order necessary conditions ...
He Qinghai, Zhang Binbin
doaj   +1 more source

An efficient algorithm for accelerating the convergence of oscillatory series, useful for computing the polylogarithm and Hurwitz zeta functions

open access: yes, 2007
This paper sketches a technique for improving the rate of convergence of a general oscillatory sequence, and then applies this series acceleration algorithm to the polylogarithm and the Hurwitz zeta function.
A. Jonquière   +10 more
core   +5 more sources

Autointerpretacja osoby i problem „mocnego wartościowania” w filozofii Charlesa Taylora

open access: yesAnaliza i Egzystencja, 2022
The article aims to analyse self-interpretation concerning the formula of “strong valuation” and the issue of the human person. The subject of the analysis is Charles Taylor's concept of values in the context of his philosophical inspirations and ...
Mariusz Wojewoda
doaj   +1 more source

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

open access: yes, 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  

Derivatives of Multilinear Functions of Matrices

open access: yes, 2013
Perturbation or error bounds of functions have been of great interest for a long time. If the functions are differentiable, then the mean value theorem and Taylor's theorem come handy for this purpose. While the former is useful in estimating $\|f(A+X)-f(
Bhatia, Rajendra, Nielsen, Frank
core   +1 more source

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