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Topics in Polynomials of One and Several Variables and Their Applications
This volume presents an account of some of the most important work that has been done on various research problems in the theory of polynomials of one and several variables and their applications. It is dedicated to P L Chebyshev, a leading Russian mathematician.
Extremal Problems and Inequalities of Markov-Bernstein Type for Algebraic Polynomials
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
Mathematical Analysis, Approximation Theory and Their Applications
Designed for graduate students, researchers, and engineers in mathematics, optimization, and economics, this self-contained volume presents theory, methods, and applications in mathematical analysis and approximation theory. Specific topics include: approximation of functions by linear positive operators with applications to computer aided geometric design, numerical analysis, optimization theory, and solutions of differential equations. Recent and significant developments in approximation theory, special functions and q-calculus along with their applications to mathematics, engineering, and social sciences are discussed and analyzed. Each chapter enriches the understanding of current research problems and theories in pure and applied research.
Functional Equations and Inequalities
Functional Equations andInequalities provides an extensive studyofsome of the most important topics of current interest in functional equations and inequalities. Subjects dealt with include: a Pythagorean functional equation, a functional definition oftrigonometric functions, the functional equation ofthe square root spiral, a conditional Cauchy functional equation, an iterative functional equation, the Hille-type functional equation, the polynomial-like iterative functional equation, distribution ofzeros and inequalities for zeros of algebraic polynomials, a qualitative study ofLobachevsky's complex functional equation, functional inequalities in special classesoffunctions, replicativity an...
Progress in Approximation Theory and Applicable Complex Analysis
Current and historical research methods in approximation theory are presented in this book beginning with the 1800s and following the evolution of approximation theory via the refinement and extension of classical methods and ending with recent techniques and methodologies. Graduate students, postdocs, and researchers in mathematics, specifically those working in the theory of functions, approximation theory, geometric function theory, and optimization will find new insights as well as a guide to advanced topics. The chapters in this book are grouped into four themes; the first, polynomials (Chapters 1 –8), includes inequalities for polynomials and rational functions, orthogonal polynomial...
Integrated Pest Management
The book, consists of 31 chapters, will be useful to scientists working in the field of entomology. Chapters 1-10 present comprehensive review of concept and implementation and future need of pest management, impact of climate on pest population, insect invasion, pollinators, pesticide use, bar coding as tool to understand diversity and pesticide formulation and safety to environment. The next 5 chapters present comprehensive information on host plant resistance, soil solarization, neem and behaviour modify chemicals as component of pest management. Chapters 16-26 present the management strategies on crops like sugarcane, rice, sorghum, tobacco, fruits, vegetables crops and stored grain pest...
Advances in Mathematical and Computational Sciences
This volume documents the contributions presented at The ICRTMPCS II International Conference on Advances in Mathematical and Computational Sciences. Entries focus on modern trends and techniques in branches of pure and applied mathematics, statistics, and computer science. Highlighting applications in coding theory, cryptography, graph theory, fuzzy theory, variance analysis, data analysis, and sampling theory.
Atherosclerosis: Diet and Drugs
Cardiovascular diseases continue to be the leading cause of death in the - jority of industrialized countries. The most frequent underlying pathology, namely atherosclerosis, and its clinical sequelae, namely coronary heart d- ease, cerebrovascular disease and peripheral artery disease, remain common although for a long time we have been made aware of avoidable or mo- ?able etiological factors such as smoking, fat-rich diet or lack of exercise, and although these adverse lifestyle factors have been extensively addressed by population-wide primary prevention programs. Cardiovascular morbidity and mortality also remain high despite successful anti-hypertensive and lipid lowering drug therapies...
Spectroscopic Properties of Inorganic and Organometallic Compounds
Spectroscopic Properties of Inorganic and Organometallic Compounds provides a unique source of information on an important area of chemistry. Divided into sections mainly according to the particular spectroscopic technique used, coverage in each volume includes: NMR (with reference to stereochemistry, dynamic systems, paramagnetic complexes, solid state NMR and Groups 13-18); nuclear quadrupole resonance spectroscopy; vibrational spectroscopy of main group and transition element compounds and coordinated ligands; and electron diffraction. Reflecting the growing volume of published work in this field, researchers will find this Specialist Periodical Report an invaluable source of information on current methods and applications. Specialist Periodical Reports provide systematic and detailed review coverage in major areas of chemical research. Compiled by teams of leading experts in their specialist fields, this series is designed to help the chemistry community keep current with the latest developments in their field. Each volume in the series is published either annually or biennially and is a superb reference point for researchers. www.rsc.org/spr
