Related papers: A note on Leibniz rule for difference quotient
In this paper, we prove an inequality regarding the differential polynomial. This improves some recent results.
A simple proof of the celebrated theorem of Lee and Yang is attempted in this short note.
This short, expository note proves the existence of the maximal quotient of a variety by free rational curves.
In this note we show that McGee's {\omega}-inconsistency result can be derived from L\"ob's theorem.
This paper aims at discussing the importance of Leibniz Law to getting models for Paraconsistent Set Theories.
In literature, the central limit theorems for the product of sums of various random variables have studied. The purpose of this note is to show that this kind of results are corollary of the invariance principle.
A variety of three-dimensional left-covariant differential calculi on the quantum group $SU_q(2)$ is considered using an approach based on global $ U(1) $ -covariance. Explicit representations of possible $q $-Lie algebras are constructed…
A new method is presented for finding the derivative of the sine and cosine using the discoveries of Leibniz in calculus between the years 1675 and 1677, namely the derivative of the product and the quotient of two functions as well as the…
We improve constants in the Rademacher-Menchov inequality.
We introduce the notion of the difference quotient set of a real valued function $f$ on a set $E\subset[0,1]$, and compare this set to the range of $f$ on $E$. We discuss the measure theoretic properties of both the range and the difference…
In this note we provide a simple formula of general term of recurrent sequence.
For a real function $f:[0,1]\to\mathbb{R}$, the difference quotient of $f$ is the function of two real variables $\operatorname{DQ}_f(a,b)=\dfrac{f(b)-f(a)}{b-a}$, which we view as defined on the triangle $\mathcal{T}=\{(a,b):0\leq…
We show that derivations of the differential structure of a subcartesian space satisfy the chain rule and have maximal integral curves.
This note presents an interesting counterexample to a basic covering problem.
This note proposes a new notion of a gradient-like vector field and discusses its implications for the theory of Stein and Weinstein structures.
In this paper we study an analogue of the classical Riemann-Hilbert problem stated for the classes of difference and $q$-difference systems. The Birkhoff's existence theorem was generalized in this paper.
The purpose of this note is to present a formulation of a given nonlinear ordinary differential equation into an equivalent system of linear ordinary differential equations. It is evident that the easiness of a such procedure would be able…
In this short note, we improve the famous Reid Inequality related to linear operators.
In this manuscript, we provide a point-wise estimate for the $3$-commutators involving fractional powers of the sub-Laplacian on Carnot groups of homogeneous dimension $Q$. This can be seen as a fractional Leibniz rule in the sub-elliptic…
A natural composition $\odot$ on all pages of the lower central series spectral sequence for spheres is defined. Moreover, it is defined for $p$-lower central series spectral sequence of a simplicial group. It is proved that $r$th…