Results 11 to 20 of about 31,286 (240)

On the nonoscillatory behavior of solutions of three classes of fractional difference equations [PDF]

open access: yesOpuscula Mathematica, 2020
In this paper, we study the nonoscillatory behavior of three classes of fractional difference equations. The investigations are presented in three different folds.
Said Rezk Grace   +4 more
doaj   +1 more source

Fractional Gradient Elasticity from Spatial Dispersion Law [PDF]

open access: yes, 2014
Non-local elasticity models in continuum mechanics can be treated with two different approaches: the gradient elasticity models (weak non-locality) and the integral non-local models (strong non-locality).
Tarasov, Vasily E.
core   +3 more sources

Multivariate Caputo left fractional Landau inequalities

open access: yesMoroccan Journal of Pure and Applied Analysis, 2020
Relied on author’s first ever found multivariate Caputo fractional Taylor’s formula (2009, [1], Chapter 13), we develop and prove several multivariate left side Caputo fractional uniform Landau type inequalities.
Anastassiou George A.
doaj   +1 more source

Evaluation of lidar-assisted wind turbine control under various turbulence characteristics [PDF]

open access: yesWind Energy Science, 2023
Lidar systems installed on the nacelle of wind turbines can provide a preview of incoming turbulent wind. Lidar-assisted control (LAC) allows the turbine controller to react to changes in the wind before they affect the wind turbine.
F. Guo, D. Schlipf, P. W. Cheng
doaj   +1 more source

Taylor's Expansion Revisited: A General Formula for the Remainder

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2012
We give a new approach to Taylor's remainder formula, via a generalization of Cauchy's generalized mean value theorem, which allows us to include the well-known Schölomilch, Lebesgue, Cauchy, and the Euler classic types, as particular cases.
José Juan Rodríguez Cano   +1 more
doaj   +1 more source

The Various Definitions of Multiple Differentiability of a Function f: ℝn→ ℝ

open access: yesMathematics, 2020
Since the 17-th century the concepts of differentiability and multiple differentiability have become fundamental to mathematical analysis. By now we have the generally accepted definition of what a multiply differentiable function f:Rn→R is (in this ...
Alexander Kuleshov
doaj   +1 more source

A New First Order Expansion Formula with a Reduced Remainder

open access: yesAxioms, 2022
This paper is devoted to a new first order Taylor-like formula, where the corresponding remainder is strongly reduced in comparison with the usual one, which appears in the classical Taylor’s formula.
Joel Chaskalovic, Hessam Jamshidipour
doaj   +1 more source

Sharp Integral Inequalities Based on a General Four-Point Quadrature Formula via a Generalization of the Montgomery Identity

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2012
We consider families of general four-point quadrature formulae using a generalization of the Montgomery identity via Taylor’s formula. The results are applied to obtain some sharp inequalities for functions whose derivatives belong to 𝐿𝑝 spaces ...
J. Pečarić, M. Ribičić Penava
doaj   +1 more source

Generalization of Steffensen's inequality for higher order convex function involving extensions of montgomery identities on time scales

open access: yesApplied Mathematics in Science and Engineering, 2023
Generalizations of some Steffensen's inequalities for the class of higher order convex functions are obtained in present study. To prove the results, some preliminary lemmas are established by using extended Montgomery identities via Taylor's formula on ...
Khuram Ali Khan   +4 more
doaj   +1 more source

Hedging strategies and minimal variance portfolios for European and exotic options in a Levy market [PDF]

open access: yes, 2008
This paper presents hedging strategies for European and exotic options in a Levy market. By applying Taylor's Theorem, dynamic hedging portfolios are con- structed under different market assumptions, such as the existence of power jump assets or moment ...
Olhede, Sofia   +2 more
core   +6 more sources

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