This volume presents significant advances in a number of theories and problems of Mathematical Analysis and its applications in disciplines such as Analytic Inequalities, Operator Theory, Functional Analysis, Approximation Theory, Functional Equations, Differential Equations, Wavelets, Discrete Mathematics and Mechanics. The contributions focus on recent developments and are written by eminent scientists from the international mathematical community. Special emphasis is given to new results that have been obtained in the above mentioned disciplines in which Nonlinear Analysis plays a central role.
Some review papers published in this volume will be particularly useful for a broader readership in Mathematical Analysis, as well as for graduate students. An attempt is given to present all subjects in this volume in a unified and self-contained manner, to be particularly useful to the mathematical community.

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László Tóth; Themistocles M Rassias; Springer Science+Business Media

Themistocles M Rassias; László Tóth, (Mathematician)

Rassias, Themistocles M.; Tóth, László

Springer International Publishing AG

Springer Nature Switzerland AG

Springer London, Limited

Springer Optimization and Its Applications (Online), vol. 94, Cham, ©2014

Springer optimization and its applications, volume 94, Cham, 2014

Springer Nature, Cham, 2014

Switzerland, Switzerland

sm35153822

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Front Matter....Pages i-ix
Simple Proofs of Some Bernstein–Mordell Type Inequalities....Pages 1-15
Hilbert-Type Inequalities Including Some Operators, the Best Possible Constants and Applications: A Survey....Pages 17-52
A Fixed Point Approach to Stability of the Quadratic Equation....Pages 53-77
Aspects of Global Analysis of Circle-Valued Mappings....Pages 79-109
A Remark on Some Simultaneous Functional Inequalities in Riesz Spaces....Pages 111-117
Elliptic Problems on the Sierpinski Gasket....Pages 119-173
Initial Value Problems in Linear Integral Operator Equations....Pages 175-188
Extension Operators that Preserve Geometric and Analytic Properties of Biholomorphic Mappings....Pages 189-207
Normal Cones and Thompson Metric....Pages 209-258
Functional Operators and Approximate Solutions of Functional Equations....Pages 259-276
Markov-Type Inequalities with Applications in Multivariate Approximation Theory....Pages 277-314
The Number of Prime Factors Function on Shifted Primes and Normal Numbers....Pages 315-326
Imbedding Inequalities for Composition of Green’s and Potential Operators....Pages 327-341
On Approximation Properties of q -King Operators....Pages 343-362
Certain Szász-Mirakyan-Beta Operators....Pages 363-386
Different Durrmeyer Variants of Baskakov Operators....Pages 387-418
Hypergeometric Representation of Certain Summation–Integral Operators....Pages 419-446
On a Hybrid Fourth Moment Involving the Riemann Zeta-Function....Pages 447-460
On the Invertibility of Some Elliptic Operators on Manifolds with Boundary and Cylindrical Ends....Pages 461-482
Meaned Spaces and a General Duality Principle....Pages 483-499
An AQCQ-Functional Equation in Matrix Random Normed Spaces....Pages 501-522
A Planar Location-Allocation Problem with Waiting Time Costs....Pages 523-540
The Stability of an Affine Type Functional Equation with the Fixed Point Alternative....Pages 541-556
On Some Integral Operators....Pages 557-571
Integer Points in Large Bodies....Pages 573-581
On the Orderability Problem and the Interval Topology....Pages 583-599
A Class of Functional-Integral Equations with Applications to a Bilocal Problem....Pages 601-608
Hyperbolic Wavelets....Pages 609-631
One Hundred Years Uniform Distribution Modulo One and Recent Applications to Riemann’s Zeta-Function....Pages 633-657
On the Energy of Graphs....Pages 659-698
Implicit Contractive Maps in Ordered Metric Spaces....Pages 699-714
Higher Dimensional Continuous Wavelet Transform in Wiener Amalgam Spaces....Pages 715-746
Multidimensional Hilbert-Type Integral Inequalities and Their Operators Expressions....Pages 747-768
....Pages 769-814

Springer Optimization and Its Applications
Erscheinungsdatum: 27.10.2014

2014-11-10