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1.

電子ブック

EB
edited by Christopher Heil
出版情報: Boston, MA : Birkhäuser Boston, 2006
シリーズ名: Applied and Numerical Harmonic Analysis ;
オンライン: http://dx.doi.org/10.1007/0-8176-4504-7
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2.

電子ブック

EB
by Ivan Singer
出版情報: New York, NY : Springer Science+Business Media, Inc., 2006
シリーズ名: CMS Books in Mathematics ;
オンライン: http://dx.doi.org/10.1007/0-387-28395-1
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3.

電子ブック

EB
edited by Ari Laptev
出版情報: New York, NY : Springer Science+Business Media, LLC, 2010
シリーズ名: International Mathematical Series ; 11
オンライン: http://dx.doi.org/10.1007/978-1-4419-1341-8
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4.

電子ブック

EB
by Ole Christensen, Khadija L. Christensen
出版情報: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2005
シリーズ名: Applied and Numerical Harmonic Analysis ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-4448-2
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Preface
Approximation with Polynomials
Infinite Series
Fourier Analysis
Wavelets and Applications
Wavelets and their Mathematical Properties
Appendix A
Appendix B
References
Index
Preface
Approximation with Polynomials
Infinite Series
5.

電子ブック

EB
by Ulrich Kohlenbach
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2008
シリーズ名: Springer Monographs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-540-77533-1
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6.

電子ブック

EB
by Mi-Ho Giga, Yoshikazu Giga, Jürgen Saal
出版情報: Boston : Springer Science+Business Media, LLC, 2010
シリーズ名: Progress in Nonlinear Differential Equations and Their Applications ; 79
オンライン: http://dx.doi.org/10.1007/978-0-8176-4651-6
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7.

電子ブック

EB
by Ali Aral, Vijay Gupta, Ravi P Agarwal
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
オンライン: http://dx.doi.org/10.1007/978-1-4614-6946-9
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Introduction of q-calculus
q-Discrete operators and their results
q-Integral operators
q-Bernstein type integral operators
q-Summation-integral operators
Statistical convergence of q-operators
q-Complex operators
Introduction of q-calculus
q-Discrete operators and their results
q-Integral operators
8.

電子ブック

EB
by Sergey Kislyakov, Natan Kruglyak
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2013
シリーズ名: Monografie Matematyczne ; 74
オンライン: http://dx.doi.org/10.1007/978-3-0348-0469-1
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Preface
Introduction
Definitions, notation, and some standard facts
Part 1. Background
Chapter 1. Classical Calderón–Zygmund decomposition and real interpolation
Chapter 2. Singular integrals
Chapter 3. Classical covering theorems
Chapter 4. Spaces of smooth functions and operators on them
Chapter 5. Some topics in interpolation
Chapter 6. Regularization for Banach spaces
Chapter 7. Stability for analytic Hardy spaces
Part 2. Advanced theory
Chapter 8. Controlled coverings
Chapter 9. Construction of near-minimizers
Chapter 10. Stability of near-minimizers
Chapter 11. The omitted case of a limit exponent
Chapter A. Appendix. Near-minimizers for Brudnyi and Triebel–Lizorkin spaces
Notes and remarks
Bibliography
Index
Preface
Introduction
Definitions, notation, and some standard facts
9.

電子ブック

EB
by Ştefan Cobzaş
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2013
シリーズ名: Frontiers in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-0348-0478-3
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Introduction.- 1. Quasi-metric and Quasi-uniform Spaces. 1.1. Topological properties of quasi-metric and quasi-uniform spaces
1.2. Completeness and compactness in quasi-metric and quasi-uniform spaces.- 2. Asymmetric Functional Analysis
2.1. Continuous linear operators between asymmetric normed spaces
2.2. Hahn-Banach type theorems and the separation of convex sets
2.3. The fundamental principles
2.4. Weak topologies
2.5. Applications to best approximation
2.6. Spaces of semi-Lipschitz functions
Bibliography
Index
Introduction.- 1. Quasi-metric and Quasi-uniform Spaces. 1.1. Topological properties of quasi-metric and quasi-uniform spaces
1.2. Completeness and compactness in quasi-metric and quasi-uniform spaces.- 2. Asymmetric Functional Analysis
2.1. Continuous linear operators between asymmetric normed spaces
10.

電子ブック

EB
edited by Gradimir V. Milovanović, Michael Th. Rassias
出版情報: New York, NY : Springer New York : Imprint: Springer, 2014
オンライン: http://dx.doi.org/10.1007/978-1-4939-0258-3
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Part I. Analytic Number Theory, Combinatorics, and Special Sequences of Numbers and Polynomials
The mean values of the Riemann Zeta function on the critical line (A. Ivić)
Explicit bounds concerning non-trivial zeros of the Riemann Zeta function (M. Hassani)
On the value-distribution of logarithmic derivatives of Dirichlet L-functions (Y. Ihara, K. Matsumoto)
Multiple Gamma functions and their applications (J. Choi)
On partition functions of hyperbolic three-geometry and associated Hilbert schemes (A.A. Bytsenko and E. Elizalde)
Families of twisted Bernoulli numbers, twisted Bernoulli polynomials and their applications (Y. Simsek)
Combinatorial interpretation of a generalized basic series (A.K. Agarwal, M. Rana)
Identities for reciprocal binomials (A. Sofo)
A note on q-Stirling numbers (M. Merca)
Part II. Analytic Inequalities and Applications
A survey on Cauchy–Bunyakovsky–Schwarz inequality for power series (A. Ibrahim, S.S. Dragomir)
Topics in special functions III (G.D. Anderson, M. Vuorinen, X. Zhang)
Completely monotone functions—a digest (M. Merkle)
New applications of superquadracity (S. Abramovich)
Green's operator and differential forms (S. Ding, Y. Xing)
Multidimensional discrete Hilbert-type inequalities, operators and compositions (B. Yang)
The function (bx-ax)/x: Ratio's properties (F. Qi, Q.-M. Luo, B.-N. Guo)
On the approximation and bounds of the Gini mean difference (P. Cerone)
On parametric nonconvex variational inequalities (M.A. Noor)
Part III. Approximation of Functions and Quadratures
Simultaneous approximation for Stancu type generalization of certain summation-integral typfe operators (N.K. Govil, V. Gupta)
Korovkin type approximation theorem for functions of two variables via statistical summability (M. Mursaleen, S.A. Mohiuddine)
Reflections on the Baker–Gammel–Wills (Padé) conjecture (D.S. Lubinsky)
Optimal quadrature formulas and interpolation splines minimizing the semi-norm in the Hilbert space K2(P2) (A.R. Hayotov, G.V. Milovanović, K.M. Shadimetov)
Numerical integration of highly oscillating functions (G.V. Milovanović, M.P. Stanić)
Part IV. Orthogonality, Transformations and Applications
Asymptotic reductions between the Wilson polynomials and the lower level polynomials of the Askey scheme (C. Ferreira, J.L. López, E.P. Sinusía)
On a direct Uvarov–Chihara problem and some extensions (K. Castillo, L. Garza, F. Marcellán)
On special cases of Boas–Buck type polynomial sequences (A.F. Loureiro, S. Yakubovich)
Goursat's hypergeometric transformations, revisited (P.W. Karlsson)
Convolutions product and differential and integro-differential equations (A. Kiliçman)
Orthogonally additive-additive functional equation (C. Park)
Part V. Special and Complex Functions and Applications
Alternating Mathieu series, Hilbert–Eisteinstein series and their generalized Omega functions (A. Baricz, P.L. Butzer, T.K. Pogány)
Properties of the product of modified Bessel functions (A. Baricz, T.K. Pogány)
Mapping properties of an integral operator involving Bessel functions (S. Porwal, D. Breaz)
Poincaré α-series for classical Schottky groups (V.V. Mityushev)
Inclusion properties for certain classes of meromorphic multivalent functions (N.E. Cho)
A journey from Gross-problem to Fujimoto-condition (I. Lahiri, A Banerjee)
Index
Part I. Analytic Number Theory, Combinatorics, and Special Sequences of Numbers and Polynomials
The mean values of the Riemann Zeta function on the critical line (A. Ivić)
Explicit bounds concerning non-trivial zeros of the Riemann Zeta function (M. Hassani)