Josip Pecaric's Books

New Perspectives on the Theory of Inequalities for Integral and Sum

By: Nazia Irshad,Asif R. Khan,Faraz Mehmood,Josip Pečarić

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New Perspectives on the Theory of Inequalities for Integral and Sum

By: Nazia Irshad,Asif R. Khan,Faraz Mehmood,Josip Pečarić

This book provides new contributions to the theory of inequalities for integral and sum, and includes four chapters. In the first chapter, linear inequalities via interpolation polynomials and green functions are discussed. New results related to Popoviciu type linear inequalities via extension of the Montgomery identity, the Taylor formula, Abel-Gontscharoff's interpolation polynomials, Hermite interpolation polynomials and the Fink identity with Green’s functions, are presented. The second chapter is dedicated to Ostrowski’s inequality and results with applications to numerical integration and probability theory. The third chapter deals with results involving functions with nondecreasing increments. Real life applications are discussed, as well as and connection of functions with nondecreasing increments together with many important concepts including arithmetic integral mean, wright convex functions, convex functions, nabla-convex functions, Jensen m-convex functions, m-convex functions, m-nabla-convex functions, k-monotonic functions, absolutely monotonic functions, completely monotonic functions, Laplace transform and exponentially convex functions, by using the finite difference operator of order m. The fourth chapter is mainly based on Popoviciu and Cebysev-Popoviciu type identities and inequalities. In this last chapter, the authors present results by using delta and nabla operators of higher order.

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Page Count

319

Publisher

Springer Nature

Published Date

ISBN 10

3030905632

ISBN 13

9783030905637

Convex Functions, Partial Orderings, and Statistical Applications

By: Josip E. Peajcariaac,Y. L. Tong

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Convex Functions, Partial Orderings, and Statistical Applications

By: Josip E. Peajcariaac,Y. L. Tong

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. 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

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Page Count

485

Publisher

Academic Press

Published Date

ISBN 10

0080925227

ISBN 13

9780080925226

Multiplicative Inequalities Of Carlson Type And Interpolation

By: Leo Larsson,Lech Maligranda,Lars-erik Persson,Josip Pecaric

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Multiplicative Inequalities Of Carlson Type And Interpolation

By: Leo Larsson,Lech Maligranda,Lars-erik Persson,Josip Pecaric

Collecting all the results on the particular types of inequalities, the coverage of this book is unique among textbooks in the literature. The book focuses on the historical development of the Carlson inequalities and their many generalizations and variations. As well as almost all known results concerning these inequalities and all known proof techniques, a number of open questions suitable for further research are considered. Two chapters are devoted to clarifying the close connection between interpolation theory and this type of inequality. Other applications are also included, in addition to a historical note on Fritz Carlson himself.

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Page Count

217

Publisher

World Scientific

Published Date

ISBN 10

9814478369

ISBN 13

9789814478366

Convex Functions, Partial Orderings, and Statistical Applications

By: Josip E. Peajcariaac,Y. L. Tong

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Convex Functions, Partial Orderings, and Statistical Applications

By: Josip E. Peajcariaac,Y. L. Tong

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Solve jigsaw puzzle

Age

Page Count

485

Publisher

Academic Press

Published Date

ISBN 10

0080925227

ISBN 13

9780080925226

Book's by Josip Pecaric

New Perspectives on the Theory of Inequalities for Integral and Sum

New Perspectives on the Theory of Inequalities for Integral and Sum

Convex Functions, Partial Orderings, and Statistical Applications

Convex Functions, Partial Orderings, and Statistical Applications

Multiplicative Inequalities Of Carlson Type And Interpolation

Multiplicative Inequalities Of Carlson Type And Interpolation

Convex Functions, Partial Orderings, and Statistical Applications

Convex Functions, Partial Orderings, and Statistical Applications

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