Analytic and Geometric Inequalities and Applications

Analytic and Geometric Inequalities and Applications

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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.
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Product details

  • Hardback | 384 pages
  • 154.9 x 241.3 x 30.5mm | 748.44g
  • Dordrecht, Netherlands, United States
  • English
  • Illustr.
  • 079235690X
  • 9780792356905

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.
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