Analytic and Geometric Inequalities and Applications

Chapter 1 Problem of Infimum in the Positive Cone

Chapter 2 Open Problems on Eigenvalues of the Laplacian

Chapter 3 On an Inequality of S. Bernstein and the Gauss-Lucas Theorem

Chapter 4 Second Order Opial Inequalities in $${\mathcal{L}^p}$$ Spaces and Applications

Chapter 5 On Multi-Dimensional Integral Inequalities and Applications

Chapter 6 Some Inequalities for Triangle: Old and New Results

Chapter 7 A Treatise on Grüss’ Inequality

Chapter 8 A ≥ B ≥ 0 Ensures $${\left( {{B^{\frac{r}{2}}}{A^p}{B^{\frac{r}{2}}}} \right)^{\frac{1}{q}}} \geqslant {\left( {{B^{\frac{r}{2}}}{A^p}{B^{\frac{r}{2}}}} \right)^{\frac{1}{q}}}$$ for R ≥ 0, P ≥ 0, G ≥ 1 with (1 + R)Q ≥P + R and its Recent Appications

Chapter 9 Degree of Convergence for a Class of Linear Operators

Chapter 10 Some Comments and a Bibliography on the Laguerre-Samuelson Inequality with Extensions and Applications in Statistics and Matrix Theory

Chapter 11 Fractional Order Inequalities of Hardy Type

Chapter 12 Theory of Differential and Integral Inequalities with Initial Time Difference and Applications

Chapter 13 Numerical Radii of Some Companion Matrices and Bounds for the Zeros of Polynomials

Chapter 14 Bounds on Entropy Measures for Mixed Populations

Chapter 15 Extremal Problems and Inequalities of Markov-Bernstein Type for Polynomials

Chapter 16 On Alpha-Quasi-Convex Functions Defined by Convolution with Incomplete Beta Functions

Chapter 17 Fourth Order Obstacle Boundary Value Problems

Chapter 18 On Some Generalized Opial Type Inequalities

Chapter 19 Controlling the Velocity of Brownian Motion by its Terminal Value

Chapter 20 Chebyshev Polynomials with Integer Coefficients

Chapter 21 Distortion Inequalities for Analytic and Univalent Functions Associated with Certain Fractional Calculus and other Linear Operators