Zobrazeno 1 - 10
of 465
pro vyhledávání: '"26A24"'
Autor:
Alexander, Samuel Allen, Dawson, Bryan
In the hyperreals constructed using a free ultrafilter on R, where [f] is the hyperreal represented by f:R->R, it is tempting to define a derivative operator by [f]'=[f'], but unfortunately this is not generally well-defined. We show that if the ultr
Externí odkaz:
http://arxiv.org/abs/2411.14689
This paper discusses some unusual consequences raised by the definition of the conformable derivative in the lower terminal. A replacement for this definition is proposed and statements adjusted to the new definition are presented.
Externí odkaz:
http://arxiv.org/abs/2409.02944
Autor:
Aliyev, Yagub
In the paper the maximum and the minimum of the ratio of the difference of the arithmetic mean and the geometric mean, and the difference of the power mean and the geometric mean of $n$ variables, is studied. A new optimization argument was used whic
Externí odkaz:
http://arxiv.org/abs/2405.11947
In this paper, we investigate the existence of the asymptotically almost automorphic solution of the following type of abstract nonlinear integro-dynamic equation \begin{eqnarray*} y^{\Delta}(s) &=&Ay(s)+\mathcal{F}\left(s,y(s),\int\limits_{t_0}^{s}{
Externí odkaz:
http://arxiv.org/abs/2404.11616
Autor:
Vickers, Steven
Working in point-free topology under the constraints of geometric logic, we prove the Fundamental Theorem of Calculus, and apply it to prove the usual rules for the derivatives of $x^\alpha$, $\gamma^x$, and $\log_\gamma x$.
Comment: 20 pages, 2
Comment: 20 pages, 2
Externí odkaz:
http://arxiv.org/abs/2312.05228
Autor:
Li, Jinlu
Let X be a real uniformly convex and uniformly smooth Banach space and C a nonempty closed and convex subset of X. In this paper, we consider the generalized metric projection operator from X to C, which was introduced by Alber in 1996. We define the
Externí odkaz:
http://arxiv.org/abs/2311.01561
Let $H$ be a real Hilbert space and $C$ a nonempty closed and convex subset of $H$. Let $P_C: H\rightarrow C$ denote the (standard) metric projection operator. In this paper, we study the G\^ateaux directional differentiability of $P_C$ and investiga
Externí odkaz:
http://arxiv.org/abs/2310.16254
Publikováno v:
Applied and Computational Mathematics, vol. 22 (2023), No. 4, 443--465
In the paper, by virtue of the famous formula of Fa\`a di Bruno, with the aid of several identities of partial Bell polynomials, by means of a formula for derivatives of the ratio of two differentiable functions, and with availability of other techni
Externí odkaz:
http://arxiv.org/abs/2310.12697
Autor:
Liu, Yuan
This paper is to build a primitive framework for a new possible extended system of real mathematical analysis - the Isomorphic Mathematical Analysis System (IMAS). It is based on some new concepts: e.g. isomorphic frame, dual-variable-isomorphic func
Externí odkaz:
http://arxiv.org/abs/2312.05350
Autor:
Zitane, Hanaa, Torres, Delfim F. M.
Publikováno v:
Bol. Soc. Mat. Mex. 29 (2023), no. 3, Paper No. 68, 14pp
We establish a new generalized Taylor's formula for power fractional derivatives with nonsingular and nonlocal kernels, which includes many known Taylor's formulas in the literature. Moreover, as a consequence, we obtain a general version of the clas
Externí odkaz:
http://arxiv.org/abs/2401.14406