Multidimensional Generalized Right Fractional Taylor Formula and Landau Inequalities

2021 ◽  
pp. 285-297
Author(s):  
George A. Anastassiou
Keyword(s):  
Taylor Formula

Visualizing the Variance of a Random Variable

2011 ◽  
Vol 18 (01) ◽  
pp. 71-85
Author(s):  
Fabrizio Cacciafesta
Keyword(s):  
Stochastic Dominance ◽  
Mean Absolute Error ◽  
Random Variable ◽  
Absolute Error ◽  
Second Order ◽  
Taylor Formula ◽  
Order Stochastic Dominance ◽  
The Mean ◽  
Second Order Stochastic Dominance ◽  
Options Theory

We provide a simple way to visualize the variance and the mean absolute error of a random variable with finite mean. Some application to options theory and to second order stochastic dominance is given: we show, among other, that the "call-put parity" may be seen as a Taylor formula.

scholarly journals Computational Optimization of Residual Power Series Algorithm for Certain Classes of Fuzzy Fractional Differential Equations

2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
Mohammad Alaroud ◽  
Mohammed Al-Smadi ◽  
Rokiah Rozita Ahmad ◽  
Ummul Khair Salma Din
Keyword(s):  
Power Series ◽  
Differential Equations ◽  
Fractional Differential Equations ◽  
Optimization Technique ◽  
Fractional Power ◽  
Taylor Formula ◽  
Residual Power Series ◽  
Fractional Differential ◽  
Residual Power ◽  
Fuzzy Fractional Differential Equations

This paper aims to present a novel optimization technique, the residual power series (RPS), for handling certain classes of fuzzy fractional differential equations of order 1<γ≤2 under strongly generalized differentiability. The proposed technique relies on generalized Taylor formula under Caputo sense aiming at extracting a supportive analytical solution in convergent series form. The RPS algorithm is significant and straightforward tool for creating a fractional power series solution without linearization, limitation on the problem’s nature, sort of classification, or perturbation. Some illustrative examples are provided to demonstrate the feasibility of the RPS scheme. The results obtained show that the scheme is simple and reliable and there is good agreement with exact solution.

On applications of the Taylor formula in some quasispaces

2010 ◽  
Vol 20 (3) ◽  
pp. 164-179
Author(s):  
A. V. Greshnov
Keyword(s):  
Taylor Formula

scholarly journals Solving BVPs using two-point Taylor formula by a symbolic software

2007 ◽  
Vol 210 (1-2) ◽  
pp. 136-148 ◽  
Author(s):  
F. Costabile ◽  
A. Napoli
Keyword(s):  
Taylor Formula

scholarly journals Intrinsic Taylor formula for Kolmogorov-type homogeneous groups

2016 ◽  
Vol 435 (2) ◽  
pp. 1054-1087 ◽  
Author(s):  
Stefano Pagliarani ◽  
Andrea Pascucci ◽  
Michele Pignotti
Keyword(s):  
Taylor Formula ◽  
Kolmogorov Type ◽  
Homogeneous Groups

scholarly journals Taylor Formula on step two Carnot Groups

2010 ◽  
pp. 239-259 ◽  
Author(s):  
Gabriella Arena ◽  
Andrea Caruso ◽  
Antonio Causa
Keyword(s):  
Carnot Groups ◽  
Taylor Formula
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