Analytic and geometric inequalities and applications

Author(s)

• Rassias, Themistocles M.
• Srivastava, H. M.

Bibliographic Information

Analytic and geometric inequalities and applications

edited by Themistocles M. Rassias and Hari M. Srivastava

（Mathematics and its applications, v. 478）

Kluwer Academic, c1999

Note

Includes bibliographical references and index

Description and Table of Contents

Description

This volume is devoted to a variety of inequalities in mathematical analysis and geometry. Subjects dealt with include: differential and integral inequalities; fractional order inequalities of Hardy type; multi-dimensional integral inequalities; Gruss' inequality; Laguerre-Samuel son inequality; Opial type inequalities; Furuta inequality; distortion inequalities; problem of infimum in the positive cone; external problems for polynomials; Chebyshev polynomials; bounds for the zeros of polynomials; open problems on Eigenvalues of the Laplacian; obstacle boundary value problems; bounds on entropy measures for mixed populations; connections between the theory of univalent functions and the theory of special functions; and degree of convergence for a class of linear operators. Applications of the above are included.

Table of Contents

• Preface. Problem of Infimum in the Positive Cone
• T. Ando. Open Problems on Eigenvalues of the Laplacian
• M.S. Ashbaugh. On an Inequality of S. Bernstein and the Gauss-Lucas theorem
• A. Aziz, N.A. Rather. Second Order Opial Inequalities in LP spaces and Applications
• R. Brown, et al. On Multi-dimensional Integral Inequalities and Applications
• W.-S. Cheung, T.M. Rassias. Some Inequalities for Triangle: Old and New Results
• R.Z. Djordjevic. A Treatise on Gruss' Inequality
• A.M. Fink. A>=B>=0 Ensures (B r/2 ApB r/2)1/q>=(B r/2BpB r/2)1/q for r>=o, p>=o, q>=1 with (1+r)q>=p+r and its Recent Applications
• T. Furuta. Degree of Convergence for a Class of Linear Operators
• N.K. Govil, R.N. Mohapatra. Some Comments and a Bibliography on the Laguerre-Samuelson Inequality With Extensions and Applications in Statistics and Matrix Theory
• S.T. Jensen, G.P.H. Styan. Fractional Order Inequalities of Hardy Type
• A. Kufner. Theory of Differential and Integral Inequalities with Initial Time Difference and Applications
• V. Lakshmikantham, A.S. Vatsala. Numerical Radii of Some Companion Matrices and Bounds for the Zeros of Polynomials
• H. Linden. Bounds on Entropy Measures for Mixed Populations
• M. Matic, et al. Extremal Problems and Inequalities of Markov-Bernstein Type for Polynomials
• G.V. Milovanovic. On Alpha-quasi-convex Functions Defined by Convolution with Incomplete Beta Functions
• K.I. Noor. Fourth Order Obstacle Boundary Value Problems
• M.A. Noor, E.A. Al-Said. On Some Generalized Opial Type Inequalities
• B.G. Pachpatte. Controlling the Velocity of Brownian Motion by its Terminal Value
• G. Peskir. Chebyshev Polynomials with Integer Coefficients
• I.E. Pritsker. Distortion Inequalities for Analytic and Univalent Functions Associated with Certain Fractional Calculus and Other Linear Operators
• H.M. Srivastava.

by "Nielsen BookData"

Details

• NCID: BA42594856
• ISBN:
  • 079235690X
• LCCN: 99021369
• Country Code: ne
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Dordrecht
• Pages/Volumes: vii, 378 p.
• Size: 25 cm
• Classification:
  • LCC : QA295
  • DC21 : 515/.26
• Subject Headings:
  • LCSH : Inequalities (Mathematics)
  • LCSH : Mathematical analysis
  • LCSH : Geometry
• Parent Bibliography ID:
  • BA00044495