Zobrazeno 1 - 10
of 278
pro vyhledávání: '"40a30"'
Autor:
Biswas, Raju, Mandal, Rajib
The classical Bohr theorem and its subsequent generalizations have become active areas of research, with investigations conducted in numerous function spaces. Let $\{\psi_n(r)\}_{n=0}^\infty$ be a sequence of non-negative continuous functions defined
Externí odkaz:
http://arxiv.org/abs/2411.01837
Autor:
Palma-Márquez, Jesús, Yeung, Melvin
We study large classes of real-valued analytic functions that naturally emerge in the understanding of Dulac's problem, which addresses the finiteness of limit cycles in planar differential equations. Building on a Maximum Modulus-type result we got,
Externí odkaz:
http://arxiv.org/abs/2410.07532
Autor:
Barreno, Luis David Rivera
Certain notions of convergence of sequences of functions such as convergence pointwise, uniform and parts (compact sets or bounded sets) come from suitable topological functional spaces [1]. Under certain conditions these topologies involved are metr
Externí odkaz:
http://arxiv.org/abs/2410.12792
Autor:
Kumar, Manish
We define Sobolev spaces $H^{\mathfrak{s}}(K_q)$ over a local field $K_q$ of finite characteristic $p>0$, where $q=p^c$ for a prime $p$ and $c\in \mathbb{N}$. This paper introduces novel fractal functions, such as the Weierstrass type and 3-adic Cant
Externí odkaz:
http://arxiv.org/abs/2408.00028
We evaluate in closed form several alternating infinite series involving the binomial coefficients $C(4n,2n)$ and $C(4n+2,2n+1)$ in the denominator. One of our results generalizes an identity that was obtained experimentally by Sprugnoli in 2006.
Externí odkaz:
http://arxiv.org/abs/2404.05770
Autor:
Bruda, Glenn
Suppose a complex function $f$ has a Lebesgue measurable inverse Laplace transform. We show that the $n$th order forward and backward differences of $f$ at $z_0\in\mathbb{C}$ tend to zero as $n\to\infty$ whenever $z_0$ lies in the region of absolute
Externí odkaz:
http://arxiv.org/abs/2404.04288
Autor:
Kula, Mateusz, Nowakowski, Piotr
We examine properties of achievement sets of series in $\mathbb{R}^2$. We show several examples of unusual sets of subsums on the plane. We prove that we can obtain any set of P-sums as a cut of an achievement set in $\mathbb{R}^2.$ We introduce a no
Externí odkaz:
http://arxiv.org/abs/2312.08155
Autor:
Karagulyan, Grigori A.
We consider sequences of operators $U_n:L^1(X)\to M(X)$, where $X$ is a space of homogeneous type. Under certain conditions on the operators $U_n$ we give a complete characterization of convergence (divergence) sets of functional sequences $U_n(f)$,
Externí odkaz:
http://arxiv.org/abs/2310.00621
Autor:
Filipów, Rafał, Kwela, Adam
We examine topological spaces not distinguishing ideal pointwise and ideal $\sigma$-uniform convergence of sequences of real-valued continuous functions defined on them. For instance, we introduce a purely combinatorial cardinal characteristic (a sor
Externí odkaz:
http://arxiv.org/abs/2308.09557
Autor:
Akofor, Earnest
Let $X$ be a metric space and $BCl(X)$ the collection of nonempty bounded closed subsets of $X$ as a metric space with respect to Hausdorff distance. We study both characterization and representation of Lipschitz paths in $BCl(X)$ in terms of Lipschi
Externí odkaz:
http://arxiv.org/abs/2308.07725