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|a 1244805489
|a 1284937542
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1 |
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|a Anastassiou, George A.,
|d 1952-
|1 https://id.oclc.org/worldcat/entity/E39PBJv8DKDY8FDKq7y8vGWqwC
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| 245 |
1 |
0 |
|a Constructive fractional analysis with applications /
|c George A. Anastassiou
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| 260 |
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|a Cham :
|b Springer,
|c 2021.
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| 300 |
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|a 1 online resource (xv, 522 pages)
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
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|a Studies in Systems, Decision and Control ;
|v v. 362
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| 588 |
0 |
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|a Print version record.
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0 |
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|a Variable order general fractional integral inequalities -- Variable order fractional integral inequalities for spherical shell -- Left fractional integral inequalities of E.R. Love type -- Right side fractional integral inequalities of E.R. Love type -- General fractional Landau inequalities -- Abstract fractional Landau inequalities -- Fractional Landau inequalities of Riemann-Liouville type -- Generalized Canavati fractional Landau inequalities -- Sequential left abstract fractional Landau inequalities -- Iterated left abstract generalized fractional Landau inequalities -- Sequential general right side fractional Landau inequalities -- Iterated generalized right side fractional Landau inequalities -- High order generalized Landau inequalities -- Multidimensional Caputo left side fractional Landau inequalities -- Multidimensional left Canavati fractional Landau inequalities -- Multidimensional right Caputo fractional Taylor formula and Landau inequalities -- Multidimensional generalized right fractional Taylor formula and Landau inequalities -- Landau's inequality for semigroups -- Fractional variable order Gronwall inequality -- A study of Gronwall inequalities of fractional variable order -- General ordinary and fractional approximation with positive sublinear operators -- Complete approximations with multivariate generalized Picard singular integrals -- High order approximation with multivariate generalized Gauss-Weierstrass singular integrals -- Complete approximations with multivariate generalized Poisson-Cauchy type singular integral operators -- High order approximation with multivariate generalized trigonometric type singular integral operators -- Concluding remarks.
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| 520 |
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|a This book includes constructive approximation theory; it presents ordinary and fractional approximations by positive sublinear operators, and high order approximation by multivariate generalized Picard, Gauss Weierstrass, Poisson-Cauchy and trigonometric singular integrals. Constructive and Computational Fractional Analysis recently is more and more in the center of mathematics because of their great applications in the real world. In this book, all presented is original work by the author given at a very general level to cover a maximum number of cases in various applications. The author applies generalized fractional differentiation techniques of Riemann-Liouville, Caputo and Canavati types and of fractional variable order to various kinds of inequalities such as of Opial, Hardy, Hilbert-Pachpatte and on the spherical shell. He continues with E.R. Love left- and right-side fractional integral inequalities. They follow fractional Landau inequalities, of left and right sides, univariate and multivariate, including ones for Semigroups. These are developed to all possible directions, and right-side multivariate fractional Taylor formulae are proven for the purpose. It continues with several Gronwall fractional inequalities of variable order. This book results are expected to find applications in many areas of pure and applied mathematics. As such this book is suitable for researchers, graduate students and seminars of the above disciplines, also to be in all science and engineering libraries.
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| 504 |
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|a Includes bibliographical references.
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| 650 |
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0 |
|a Fractional calculus.
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| 650 |
|
7 |
|a Fractional calculus
|2 fast
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| 650 |
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7 |
|a Càlcul fraccional.
|2 thub
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| 650 |
|
7 |
|a Intel·ligència computacional.
|2 thub
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| 655 |
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7 |
|a Llibres electrònics.
|2 thub
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| 776 |
0 |
8 |
|i Print version:
|a Anastassiou, George A.
|t Constructive Fractional Analysis with Applications.
|d Cham : Springer International Publishing AG, ©2021
|z 9783030714802
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| 830 |
|
0 |
|a Studies in systems, decision and control ;
|v v. 362.
|
| 856 |
4 |
0 |
|u https://holycross.idm.oclc.org/login?auth=cas&url=https://link.springer.com/10.1007/978-3-030-71481-9
|y Click for online access
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| 903 |
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|a SPRING-ROBOTICS2021
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| 994 |
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|a 92
|b HCD
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