Uniqueness and Existence Results

Abstract

AbstractIn this chapter, we establish Theorems 10.1007/978-3-030-95088-0_1#FPar4 and 10.1007/978-3-030-95088-0_1#FPar5 and show that, under the assumptions of these theorems, the sequence $$n\mapsto f^p_n[g]$$ n ↦ f n p [ g ] converges uniformly on any bounded subset of $$\mathbb {R}_+$$ ℝ + . We also discuss the particular case where the sequence n↦g(n) is summable. Lastly, we provide historical notes on Krull-Webster’s theory and some of its improvements.