Related papers: A note on Leibniz rule for difference quotient

In this note we provide a new proof of the Tikhonov theorem for the infinite time interval and discuss some of its applications.

In this paper, we give new characterizations of algebraic regularity by using differential forms and difference quotients.

We give a simple proof of a recent result by J. Schleischitz dealing with a counterexample to the uniform Littlewood conjecture. Our construction is based on simple properties of Fibonacci numbers.

We give a simple proof of a recently result concerning Hardy $q$-inequalities.

A variation on the splitting principle

We prove the large deviation principle for the supports of Jacobi ensembles following Guionnet's method.

In this note, we use the method of [3] to give a simple proof of famous Witten conjecture. Combining the coefficients derived in our note and this method, we can derive more recursion formulas of Hodge integrals.

We improve on Gonek-Montgomery's quantitative version of Kronecker's approximation theorem.

In the note, the author discovers an explicit formula for computing Bernoulli numbers in terms of Stirling numbers of the second kind.

This note proposes an improved estimate of the coefficient t(n) of the discriminant modular form using elementary method. It improves a well known estimate of the tau function t(n) by Deligne.

This paper presents a reformulation of the Leibniz product rule as a finite sum that expresses the fractional derivative of the product of two differentiable functions. This paper then proves the cases for when the product consists of an…

The object of this paper is to generalize a theorem on the binomial coefficient [4] to the case in an arithmetic progression. We will also give a slightly stronger result than Langevin's [2].

We show that on certain diffeological spaces there exist linear derivations that satisfy the Leibniz rule but are not smooth with respect to the given diffeology. This reveals that the notion of tangent space defined via all such…

In this note, we find a new inequality involving primes and deduce several Bonse-type inequalities.

In this short note we improve the best to date bound in Godbersen's conjecture, and show some implications for unbalanced difference bodies.

The goal of this note is to consider Liouville type theorem for p-Laplacian type operators. In particular guided by the Laplacian case one establishes analogous results for the p-Laplacian and operators of this type.

These Lecture Notes are a brief introduction to the Malliavin calculus. In particular, different notions of Malliavin derivative found in the literature are considered and compared.

We obtain non-trivial lower estimate for the qoutient of two subsets of the interval.

This note is devoted to the construction of a graded Lie algebra, whose grading is not given by a semigroup.

These are notes from a basic course in Several Complex Variables