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Approximation Theory
We study in Part I of this monograph the computational aspect of almost all moduli of continuity over wide classes of functions exploiting some of their convexity properties. To our knowledge it is the first time the entire calculus of moduli of smoothness has been included in a book. We then present numerous applications of Approximation Theory, giving exact val ues of errors in explicit forms. The K-functional method is systematically avoided since it produces nonexplicit constants. All other related books so far have allocated very little space to the computational aspect of moduli of smoothness. In Part II, we study/examine the Global Smoothness Preservation Prop erty (GSPP) for almost a...
EBOOK: Applied Calculus for Business, Economics and the Social and Life Sciences, Expanded Edition
Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded Edition provides a sound, intuitive understanding of the basic concepts students need as they pursue careers in business, economics, and the life and social sciences. Students achieve success using this text as a result of the author's applied and real-world orientation to concepts, problem-solving approach, straight forward and concise writing style, and comprehensive exercise sets. More than 100,000 students worldwide have studied from this text!
Advances in Applied Mathematics and Approximation Theory
Advances in Applied Mathematics and Approximation Theory: Contributions from AMAT 2012 is a collection of the best articles presented at “Applied Mathematics and Approximation Theory 2012,” an international conference held in Ankara, Turkey, May 17-20, 2012. This volume brings together key work from authors in the field covering topics such as ODEs, PDEs, difference equations, applied analysis, computational analysis, signal theory, positive operators, statistical approximation, fuzzy approximation, fractional analysis, semigroups, inequalities, special functions and summability. The collection will be a useful resource for researchers in applied mathematics, engineering and statistics.
Greeks in Tarpon Springs
Beginning in 1905, large numbers of Greeks from the Dodecanese and Saronic Gulf islands settled in Tarpon Springs to work in the sponge business. They significantly expanded the industry and changed Tarpon Springs forever. Greektown flourished with residences, stores, churches, restaurants, and recreational facilities stretching from the sponge docks to downtown. Sponge fishing and related activities served as the economic base for the community. By 1913, as many as half of Tarpon Springs residents were reputedly Greek, and many businesses displayed both Greek and American flags. Today, Tarpon Springs' Greek community preserves a strong ethnic and maritime heritage. While some major US cities have a larger Greek population, no other has a greater percentage with Greek heritage than Tarpon Springs.
