Convex functions partial orderings and statistical applications This research level book presents up to date information concerning recent developments in convex functions and partial orderings and some applications in mathematics statistics and reliability theory. The book will serve researchers in mathematical and statistical theory and theoretical and applied reliabilists. Key Features * Presents classical and newly published results on convex functions and related inequalities * Explains partial ordering based on arrangement and their applications in mathematics probability statsitics and reliability * Demonstrates the connection of partial ordering with other well known orderings such as majorization and Schur functions * Will generate further research and applications Convex Functions. Jensens and Jensen Steffensens Inequalities. Reversals Refinements and Converses of Jensens and Jensen Steffensens Inequalities. Applications of Jensens Inequality to Means and H*adolders Inequalities. Hermite Hadamards and Jensen Petrovi*aacs Inequalities. Popovicius Burkills and Steffensens Inequalities. *ajCeby*ajsev Gr*aduss Favards Berwalds Gauss Wincklers and Related Inequalities. Hardys Hilberts Opials Youngs Nansons and Related Inequalities. General Linear Inequalities for Convex Sequences and Functions. Orderings and Convexity Preserving Transformations. Convex Functions and Geometric Inequalities. Convexity Majorization and Schur Convexity. Convexity and Log Concavity Related Moment and Probability Inequalities. Muirheads Theorem and Related Inequalities. Arrangement Ordering. Applications of Arrangement Ordering. Multivariate Arrangement Increasing Functions. References. Author Index. Subject Index