Right General Fractional Monotone Approximation

Here is introduced a right general fractional derivative Caputo style with respect to a base absolutely continuous strictly increasing function g. We give various examples of such right fractional derivatives for different g. Let f be p-times continuously differentiable function on [a, b&am...

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Autor principal:	Anastassiou,George A
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2015
Materias:	Right Fractional Monotone Approximation general right fractional derivative linear general right fractional differential operator modulus of continuity
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000300001
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spelling	oai:scielo:S0719-064620150003000012018-10-08Right General Fractional Monotone ApproximationAnastassiou,George A Right Fractional Monotone Approximation general right fractional derivative linear general right fractional differential operator modulus of continuity Here is introduced a right general fractional derivative Caputo style with respect to a base absolutely continuous strictly increasing function g. We give various examples of such right fractional derivatives for different g. Let f be p-times continuously differentiable function on [a, b], and let L be a linear right general fractional differential operator such that L (f) is non-negative over a critical closed subinterval J of [a, b]. We can find a sequence of polynomials Qn of degree less-equal n such that L (Qn) is non-negative over J, furthermore f is approximated uniformly by Qn over [a, b] . The degree of this constrained approximation is given by an inequality using the first modulus of continuity of f(p). We finish we applications of the main right fractional monotone approximation theorem for different g.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.17 n.3 20152015-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000300001en10.4067/S0719-06462015000300001
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Right Fractional Monotone Approximation general right fractional derivative linear general right fractional differential operator modulus of continuity
spellingShingle	Right Fractional Monotone Approximation general right fractional derivative linear general right fractional differential operator modulus of continuity Anastassiou,George A Right General Fractional Monotone Approximation
description	Here is introduced a right general fractional derivative Caputo style with respect to a base absolutely continuous strictly increasing function g. We give various examples of such right fractional derivatives for different g. Let f be p-times continuously differentiable function on [a, b], and let L be a linear right general fractional differential operator such that L (f) is non-negative over a critical closed subinterval J of [a, b]. We can find a sequence of polynomials Qn of degree less-equal n such that L (Qn) is non-negative over J, furthermore f is approximated uniformly by Qn over [a, b] . The degree of this constrained approximation is given by an inequality using the first modulus of continuity of f(p). We finish we applications of the main right fractional monotone approximation theorem for different g.
author	Anastassiou,George A
author_facet	Anastassiou,George A
author_sort	Anastassiou,George A
title	Right General Fractional Monotone Approximation
title_short	Right General Fractional Monotone Approximation
title_full	Right General Fractional Monotone Approximation
title_fullStr	Right General Fractional Monotone Approximation
title_full_unstemmed	Right General Fractional Monotone Approximation
title_sort	right general fractional monotone approximation
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2015
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000300001
work_keys_str_mv	AT anastassiougeorgea rightgeneralfractionalmonotoneapproximation
_version_	1714206793783050240

Right General Fractional Monotone Approximation

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