I. Pinelis

activity

19982023

most cited"Non-strict" l'Hospital-Type Rules for Monotonicity: Intervals of Constancy

17 citations · 64 across the 29 of their papers we have counts for

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Showing 2015 · math.CAShow all

2 papers · 2 filters

math.CA2015★ 2 cited

An alternative to the Euler--Maclaurin formula: Approximating sums by integrals only

Iosif Pinelis

The Euler--Maclaurin (EM) summation formula is used in many theoretical studies and numerical calculations. It approximates the sum $\sum_{k = 0}^{n - 1} f (k)$ of values of a function…

math.CA2015★ 6 cited

Convex cones of generalized multiply monotone functions and the dual cones

Iosif Pinelis

Let $n$ and $k$ be nonnegative integers such that $1 \leq k \leq n + 1$ . The convex cone $F_{+}^{k : n}$ of all functions $f$ on an arbitrary interval $I \subseteq R$ whose…