Displaying similar documents to “Bounds for Fractional Powers of Operators in a Hilbert Space and Constants in Moment Inequalities”

Fractional Powers of Almost Non-Negative Operators

Martínez, Celso, Sanz, Miguel, Redondo, Antonia (2005)

Fractional Calculus and Applied Analysis

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Mathematics Subject Classification: Primary 47A60, 47D06. In this paper, we extend the theory of complex powers of operators to a class of operators in Banach spaces whose spectrum lies in C ]−∞, 0[ and whose resolvent satisfies an estimate ||(λ + A)(−1)|| ≤ (λ(−1) + λm) M for all λ > 0 and for some constants M > 0 and m ∈ R. This class of operators strictly contains the class of the non negative operators and the one of operators with polynomially bounded resolvent....

On certain multidimensional generalized Kober operators.

R. K. Saxena, Jeta Ram (1990)

Collectanea Mathematica

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In this paper, we introduce certain multidimensional generalized Kober operators associated with the Gauss's hypergeometric function, which provide an elegant multivariate analogue of the operators introduced by Saxena and Kumbhat.

Theorem for Series in Three-Parameter Mittag-Leffler Function

Soubhia, Ana, Camargo, Rubens, Oliveira, Edmundo, Vaz, Jayme (2010)

Fractional Calculus and Applied Analysis

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Mathematics Subject Classification 2010: 26A33, 33E12. The new result presented here is a theorem involving series in the three-parameter Mittag-Leffler function. As a by-product, we recover some known results and discuss corollaries. As an application, we obtain the solution of a fractional differential equation associated with a RLC electrical circuit in a closed form, in terms of the two-parameter Mittag-Leffler function.

Some fractional integral formulas for the Mittag-Leffler type function with four parameters

Praveen Agarwal, Juan J. Nieto (2015)

Open Mathematics

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In this paper we present some results from the theory of fractional integration operators (of Marichev- Saigo-Maeda type) involving the Mittag-Leffler type function with four parameters ζ , γ, Eμ, ν[z] which has been recently introduced by Garg et al. Some interesting special cases are given to fractional integration operators involving some Special functions.