Analytic and geometric inequalities and applications
著者
書誌事項
Analytic and geometric inequalities and applications
（Mathematics and its applications, v. 478）
Kluwer Academic, c1999
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- 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.
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