Inequalities and Applications 2010

Dedicated to the Memory of Wolfgang Walter

ISBN: 978-3-0348-0248-2 (Print) 978-3-0348-0249-9 (Online)

Table of contents (21 chapters)

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  1. Front Matter

    Pages I-LXX

  2. Boundary Value Problems

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-17

      Domain Derivatives for Energy Functionals with Boundary Integrals

    3. No Access

      Book Chapter

      Pages 19-29

      The Asymptotic Shape of a Boundary Layer of Symmetric Willmore Surfaces of Revolution

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      Book Chapter

      Pages 31-52

      A Computer-Assisted Uniqueness Proof for a Semilinear Elliptic Boundary Value Problem

    5. No Access

      Book Chapter

      Pages 53-63

      Green Function Estimates Lead to Neumann Function Estimates

  3. Numerical Methods

    1. Front Matter

      Pages 65-65

    2. No Access

      Book Chapter

      Pages 67-86

      Deriving Inequalities in the Laguerre-Pólya Class from Properties of Half-Plane Mappings

    3. No Access

      Book Chapter

      Pages 87-101

      Fundamental Error Estimate Inequalities for the Tikhonov Regularization Using Reproducing Kernels

    4. No Access

      Book Chapter

      Pages 103-115

      On the Approximation-Error of Some Numerical Methods for Obtaining the Optimal Deformable Model

  4. Geometric and Norm Inequalities

    1. Front Matter

      Pages 117-117

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      Book Chapter

      Pages 119-124

      The Longest Shortest Piercing

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      Book Chapter

      Pages 125-136

      On a Continuous Mapping and Sharp Triangle Inequalities

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      Book Chapter

      Pages 137-148

      A Dunkl-Williams Inequality and the Generalized Operator Version

  5. Generalized Convexity

    1. Front Matter

      Pages 149-149

    2. No Access

      Book Chapter

      Pages 151-163

      Jordan Type Representation of Functions with Generalized High Order Bounded Variation

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      Book Chapter

      Pages 165-173

      On Vector Hermite-Hadamard Differences Controlled by Their Scalar Counterparts

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      Book Chapter

      Pages 175-182

      Functions Generating Strongly Schur-Convex Sums

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      Book Chapter

      Pages 183-188

      Strongly Convex Sequences

  6. Convexity and Related Inequalities

    1. Front Matter

      Pages 189-189

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      Book Chapter

      Pages 191-207

      Refinement of Inequalities Related to Convexity via Superquadracity, Weaksuperquadracity and Superterzacity

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      Book Chapter

      Pages 209-215

      On Two Different Concepts of Subquadraticity

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      Book Chapter

      Pages 217-227

      Connections Between the Jensen and the Chebychev Functionals

  7. Other Equations and Inequalities

    1. Front Matter

      Pages 229-229

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      Book Chapter

      Pages 231-240

      Functional Inequalities and Equivalences of Some Estimates

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      Book Chapter

      Pages 241-253

      On Measurable Functions Satisfying Multiplicative Type Functional Equations Almost Everywhere

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      Book Chapter

      Pages 255-268

      On the L 1 Norm of the Weighted Maximal Function of Walsh-Marcinkiewicz Kernels

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