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Featuring the clearly presented and expertly-refereed contributions
of leading researchers in the field of approximation theory, this
volume is a collection of the best contributions at the Third
International Conference on Applied Mathematics and Approximation
Theory, an international conference held at TOBB University of
Economics and Technology in Ankara, Turkey, on May 28-31, 2015. The
goal of the conference, and this volume, is to bring together key
work from researchers in all areas of approximation theory,
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. These topics are presented both within their
traditional context of approximation theory, while also focusing on
their connections to applied mathematics. As a result, this
collection will be an invaluable resource for researchers in
applied mathematics, engineering and statistics.
Featuring the clearly presented and expertly-refereed contributions
of leading researchers in the field of approximation theory, this
volume is a collection of the best contributions at the Third
International Conference on Applied Mathematics and Approximation
Theory, an international conference held at TOBB University of
Economics and Technology in Ankara, Turkey, on May 28-31, 2015. The
goal of the conference, and this volume, is to bring together key
work from researchers in all areas of approximation theory,
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. These topics are presented both within their
traditional context of approximation theory, while also focusing on
their connections to applied mathematics. As a result, this
collection will be an invaluable resource for researchers in
applied mathematics, engineering and statistics.
This special volume is a collection of outstanding more applied
articles presented in AMAT 2015 held in Ankara, May 28-31, 2015, at
TOBB Economics and Technology University. The collection is
suitable for Applied and Computational Mathematics and Engineering
practitioners, also for related graduate students and researchers.
Furthermore it will be a useful resource for all science and
engineering libraries. This book includes 29 self-contained and
well-edited chapters that can be among others useful for seminars
in applied and computational mathematics, as well as in
engineering.
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.
The main idea of statistical convergence is to demand convergence
only for a majority of elements of a sequence. This method of
convergence has been investigated in many fundamental areas of
mathematics such as: measure theory, approximation theory, fuzzy
logic theory, summability theory, and so on. In this monograph we
consider this concept in approximating a function by linear
operators, especially when the classical limit fails. The results
of this book not only cover the classical and statistical
approximation theory, but also are applied in the fuzzy logic via
the fuzzy-valued operators. The authors in particular treat the
important Korovkin approximation theory of positive linear
operators in statistical and fuzzy sense. They also present various
statistical approximation theorems for some specific real and
complex-valued linear operators that are not positive. This is the
first monograph in Statistical Approximation Theory and Fuzziness.
The chapters are self-contained and several advanced courses can be
taught. The research findings will be useful in various
applications including applied and computational mathematics,
stochastics, engineering, artificial intelligence, vision and
machine learning. This monograph is directed to graduate students,
researchers, practitioners and professors of all disciplines.
The main idea of statistical convergence is to demand convergence
only for a majority of elements of a sequence. This method of
convergence has been investigated in many fundamental areas of
mathematics such as: measure theory, approximation theory, fuzzy
logic theory, summability theory, and so on. In this monograph we
consider this concept in approximating a function by linear
operators, especially when the classical limit fails. The results
of this book not only cover the classical and statistical
approximation theory, but also are applied in the fuzzy logic via
the fuzzy-valued operators. The authors in particular treat the
important Korovkin approximation theory of positive linear
operators in statistical and fuzzy sense. They also present various
statistical approximation theorems for some specific real and
complex-valued linear operators that are not positive. This is the
first monograph in Statistical Approximation Theory and Fuzziness.
The chapters are self-contained and several advanced courses can be
taught. The research findings will be useful in various
applications including applied and computational mathematics,
stochastics, engineering, artificial intelligence, vision and
machine learning. This monograph is directed to graduate students,
researchers, practitioners and professors of all disciplines.
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.
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