by admin | Sep 29, 2025
ABSTRACT. We describe an algorithm to compute in \( O\!\left(e^{c\sqrt{k\log k}}\right) \) binary operations, for some absolute constant \( c > 0 \), expressions like \[ \sum_{1 \le n \le 2^{\alpha}} e^{\frac{2\pi i n^{2}}{2^{k}}}\, n^{a}\,\,\, {\rm and} \sum_{1 \le n...
by admin | Sep 29, 2025
ABSTRACT. This article investigates some new connections between the Hilbert and Hardy integral inequalities. In particular, two general theorems are established, both based on integral terms derived from those used in these two famous inequalities. They have the...
by admin | Jun 28, 2025
Abstract In this article, we revisit a well-known result from the literature that can be considered a variant of the Hardy integral inequality. First, we present a counterexample to demonstrate the invalidity of the current formulation. We then revise the result by...
by admin | Mar 29, 2025
Abstract Here we research the multivariate quantitative approximation of complex valued continuous functions on a box of RN , N ∈ N, by the multivariate normalized type neural network operators. We investigate also the case of approximation by iterated multilayer...
by admin | Mar 29, 2025
Abstract In this article, we establish several integral inequalities under new parametric primitive exponential-weighted integral inequality assumptions. The generality and versa- tility of these assumptions allow our results to extend and unify existing frameworks in...
