Research in inequalities and integrals within the realm of fuzzy and interval-valued functions has advanced our understanding of uncertainty quantification and non-linear analysis. This field ...

SINCE the publication of Prof. Zygmund's “Trigonometric Series” in 1935, there has been considerable demand for another book dealing with trigonometric integrals. Prof. Titchmarsh's book meets this ...

Using a relationship derived from a special case of DeMoivre's Theorem, we can express the sine and cosine functions as infinite series of generalized binomial coefficients. We will derive these ...

Let $\gamma: \lbrack -1, 1 \rbrack \rightarrow R^n$ be an odd curve. Set $$H_\gamma f(x) = PV \int f(x - \gamma(t)) (dt/t)$$ and $$M_\gamma f(x) = \sup h^{-1} \int^h ...

The information and materials presented here are intended to provide a description of the course goals for current and prospective students as well as others who are interested in our courses. It is ...