# Extremal Problems And Inequalities Of Markov Bernstein Type For Algebraic Polynomials

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### Extremal Problems and Inequalities of Markov Bernstein Type for Algebraic Polynomials

Author | : Robert B. Gardner,Narendra K. Govil,Gradimir V. Milovanovic |

Publsiher | : Elsevier |

Total Pages | : 442 |

Release | : 2022-02-15 |

Genre | : Mathematics |

ISBN | : 9780128119884 |

**Download Extremal Problems and Inequalities of Markov Bernstein Type for Algebraic Polynomials Book in PDF, Epub and Kindle**

Bernstein-type Inequalities for Polynomials and Rational Functions is an integrated, powerful and clear presentation of the emergent field in approximation theory. It presents a unified description of solution norms relevant to complex polynomials, rational functions and exponential functions. Primarily for graduate students and first year PhDs, this book is useful for any researcher exploring problems which require derivative estimates. It is particularly useful for those studying inverse problems in approximation theory. Applies Bernstein-type Inequalities to any problem where derivative estimates are necessary Presents complex math in a clean and simple way, progressing readers from polynomials into rational functions Contains exhaustive references with thousands of citations to articles and books Features methods to solve inverse problems across approximation theory Includes open problems for further research

### Extremal Problems and Inequalities of Markov Bernstein Type for Algebraic Polynomial

Author | : Robert B. Gardner,Narendra K. Govil,Gradimir V. Milovanovic |

Publsiher | : Academic Press |

Total Pages | : 135 |

Release | : 2022 |

Genre | : Inequalities (Mathematics) |

ISBN | : OCLC:1305062063 |

**Download Extremal Problems and Inequalities of Markov Bernstein Type for Algebraic Polynomial Book in PDF, Epub and Kindle**

Inequalities for polynomials and their derivatives are very important in many areas of mathematics, as well as in other computational and applied sciences; in particular they play a fundamental role in approximation theory. Here, not only Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials, but also ones for trigonometric polynomials and related functions, are treated in an integrated and comprehensive style in different metrics, both on general classes of polynomials and on important restrictive classes of polynomials. Primarily for graduate and PhD students, this book is useful for any researchers exploring problems which require derivative estimates. It is particularly useful for those studying inverse problems in approximation theory.

### Extremal Problems and Inequalities of Markov Bernstein Type for Algebraic Polynomial

Author | : Robert Bentley Gardner,Narendra Kumar Govil,G. V. Milovanovic |

Publsiher | : Unknown |

Total Pages | : 0 |

Release | : 2022 |

Genre | : Inequalities (Mathematics) |

ISBN | : OCLC:1338201361 |

**Download Extremal Problems and Inequalities of Markov Bernstein Type for Algebraic Polynomial Book in PDF, Epub and Kindle**

Inequalities for polynomials and their derivatives are very important in many areas of mathematics, as well as in other computational and applied sciences; in particular they play a fundamental role in approximation theory. Here, not only Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials, but also ones for trigonometric polynomials and related functions, are treated in an integrated and comprehensive style in different metrics, both on general classes of polynomials and on important restrictive classes of polynomials. Primarily for graduate and PhD students, this book is useful for any researchers exploring problems which require derivative estimates.

### Topics in Polynomials

Author | : G. V. Milovanovi?,Dragoslav S. Mitrinovi?,Themistocles M. Rassias |

Publsiher | : World Scientific |

Total Pages | : 842 |

Release | : 1994 |

Genre | : Science |

ISBN | : 981020499X |

**Download Topics in Polynomials Book in PDF, Epub and Kindle**

The book contains some of the most important results on the analysis of polynomials and their derivatives. Besides the fundamental results which are treated with their proofs, the book also provides an account of the most recent developments concerning extremal properties of polynomials and their derivatives in various metrics with an extensive analysis of inequalities for trigonometric sums and algebraic polynomials, as well as their zeros. The final chapter provides some selected applications of polynomials in approximation theory and computer aided geometric design (CAGD). One can also find in this book several new research problems and conjectures with sufficient information concerning the results obtained to date towards the investigation of their solution.

### Extremal Problems and Inequalities of Markov Bernstein Type for Algebraic Polynomials

Author | : Robert B. Gardner,Narendra K. Govil,Gradimir V. Milovanović |

Publsiher | : Academic Press |

Total Pages | : 444 |

Release | : 2022-02-10 |

Genre | : Mathematics |

ISBN | : 9780128120071 |

**Download Extremal Problems and Inequalities of Markov Bernstein Type for Algebraic Polynomials Book in PDF, Epub and Kindle**

Inequalities for polynomials and their derivatives are very important in many areas of mathematics, as well as in other computational and applied sciences; in particular they play a fundamental role in approximation theory. Here, not only Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials, but also ones for trigonometric polynomials and related functions, are treated in an integrated and comprehensive style in different metrics, both on general classes of polynomials and on important restrictive classes of polynomials. Primarily for graduate and PhD students, this book is useful for any researchers exploring problems which require derivative estimates. It is particularly useful for those studying inverse problems in approximation theory. - Applies Markov-Bernstein-type inequalities to any problem where derivative estimates are necessary - Presents complex math in a clean and simple way, progressing readers from polynomials into rational functions, and entire functions of exponential type - Contains exhaustive references with more than five hundred citations to articles and books - Features methods to solve inverse problems across approximation theory - Includes open problems for further research

### Extremal Properties of Polynomials and Splines

Author | : Nikolaĭ Pavlovich Korneĭchuk,Anatoliĭ Aleksandrovich Ligun,V. F. Babenko |

Publsiher | : Nova Publishers |

Total Pages | : 444 |

Release | : 1996 |

Genre | : Mathematics |

ISBN | : 1560723610 |

**Download Extremal Properties of Polynomials and Splines Book in PDF, Epub and Kindle**

Extremal Properties of Polynomials & Splines

### Polynomials and Polynomial Inequalities

Author | : Peter Borwein,Tamas Erdelyi |

Publsiher | : Springer Science & Business Media |

Total Pages | : 491 |

Release | : 2012-12-06 |

Genre | : Mathematics |

ISBN | : 9781461207931 |

**Download Polynomials and Polynomial Inequalities Book in PDF, Epub and Kindle**

After an introduction to the geometry of polynomials and a discussion of refinements of the Fundamental Theorem of Algebra, the book turns to a consideration of various special polynomials. Chebyshev and Descartes systems are then introduced, and Müntz systems and rational systems are examined in detail. Subsequent chapters discuss denseness questions and the inequalities satisfied by polynomials and rational functions. Appendices on algorithms and computational concerns, on the interpolation theorem, and on orthogonality and irrationality round off the text. The book is self-contained and assumes at most a senior-undergraduate familiarity with real and complex analysis.

### Topics In Polynomials Extremal Problems Inequalities Zeros

Author | : Gradimir V Milovanovic,Themistocles M Rassias,D S Mitrinovic |

Publsiher | : World Scientific |

Total Pages | : 844 |

Release | : 1994-06-28 |

Genre | : Science |

ISBN | : 9789814506489 |

**Download Topics In Polynomials Extremal Problems Inequalities Zeros Book in PDF, Epub and Kindle**

The book contains some of the most important results on the analysis of polynomials and their derivatives. Besides the fundamental results which are treated with their proofs, the book also provides an account of the most recent developments concerning extremal properties of polynomials and their derivatives in various metrics with an extensive analysis of inequalities for trigonometric sums and algebraic polynomials, as well as their zeros. The final chapter provides some selected applications of polynomials in approximation theory and computer aided geometric design (CAGD). One can also find in this book several new research problems and conjectures with sufficient information concerning the results obtained to date towards the investigation of their solution.