This monograph is the r st in Fuzzy Approximation Theory. It contains
mostly the author s research work on fuzziness of the last ten years and
relies a lot on [10]-[32] and it is a natural outgrowth of them. It
belongs to the broader area of Fuzzy Mathematics. Chapters are
self-contained and several advanced courses can be taught out of this
book. We provide lots of applications but always within the framework of
Fuzzy Mathematics. In each chapter is given background and motivations.
A c- plete list of references is provided at the end. The topics covered
are very diverse. In Chapter 1 we give an extensive basic background on
Fuzziness and Fuzzy Real Analysis, as well a complete description of the
book. In the following Chapters 2,3 we cover in deep Fuzzy
Di?erentiation and Integ- tion Theory, e.g. we present Fuzzy Taylor
Formulae. It follows Chapter 4 on Fuzzy Ostrowski Inequalities. Then in
Chapters 5, 6 we present results on classical algebraic and
trigonometric polynomial Fuzzy Approximation.