Results 81 to 90 of about 12,310,207 (201)
Linear filtering with fractional Brownian motion in the signal and observation processes [PDF]
, 1999 Integral equations for the mean-square estimate are obtained for the linear filtering problem, in which the noise generating the signal is a fractional Brownian motion with Hurst index h∈(3/4,1) and the noise in the observation process includes a ...
Kloeden, Peter E. +2 more
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On the boundedness of a generalized fractional integral on generalized Morrey spaces
Tamkang Journal of Mathematics, 2002 In this paper we extend Nakai's result on the boundedness of a generalized fractional integral operator from a generalized Morrey space to another generalized Morrey or Campanato space.
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Simpson type integral inequalities for generalized fractional integral [PDF]
, 2019 WOS: 000483725900011In this paper, we have established some generalized Simpson type integral inequalities for generalized fractional integral. The results presented here would provide some fractional inequalities involving k-fractional integral and ...
Sarıkaya, Mehmet Zeki, Ertuğral, Fatma
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Fractional Transforms in Optical Information Processing
EURASIP Journal on Advances in Signal Processing, 2005 We review the progress achieved in optical information processing during the last decade by applying fractional linear integral transforms. The fractional Fourier transform and its applications for phase retrieval, beam characterization, space-variant ...
Maria Luisa Calvo +2 more
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Journal of Inequalities and Applications, 2018 The authors discover a general k-fractional integral identity with multi-parameters for twice differentiable functions. By using this integral equation, the authors derive some new bounds on Hermite–Hadamard’s and Simpson’s inequalities for generalized ...
Yao Zhang +4 more
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Some generalized integral inequalities via fractional integrals
, 2020 Summary: The main goal of this paper is to introduce a new integral definition concerned with the fractional calculus. Then we establish generalized Hermite-Hadamard type integral inequalities for convex functions using the proposed fractional integrals. The results presented provide extensions of those given in earlier works.
Sarıkaya, Mehmet Zeki +2 more
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, 2023 In this paper, the nonlinear version of the Henry–Gronwall integral inequality with the tempered Ψ-Hilfer fractional integral is proved. The particular cases, including the linear one and the nonlinear integral inequality of this type with ...
Eva Brestovanská +2 more
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An introduction to the generalized fractional integration
Boletim da Sociedade Paranaense de Matemática, 2012 Summary: The purpose of the present paper is to investigate the generalized fractional integration of the generalized \(M\)-series. Some results derived by \textit{R. K. Saxena} and \textit{M. Saigo} [Fract. Calc. Appl. Anal. 8, No. 2, 141--154 (2005; Zbl 1144.26010)], \textit{St. G. Samko} et al.
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IEEE Access, 2018 Ostrowski inequality provides the estimation of a function to its integral mean. It is useful in error estimations of quadrature rules in numerical analysis.
Young Chel Kwun +4 more
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Wirtinger-type inequalities for Caputo fractional derivatives via Taylor’s formula
Journal of Inequalities and ApplicationsIn this study, we firstly derive a Wirtinger-type result, which gives the connection in between the integral of square of a function and the integral of square of its Caputo fractional derivatives with the help of left-sided and right-sided fractional ...
Samet Erden +3 more
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