In the present paper, Radial Basis Function interpolations are applied to approximate a fuzzy function $tilde{f}:Rrightarrow mathcal{F}(R)$, on a discrete point set $X={x_1,x_2,ldots,x_n}$, by a fuzzy-valued function $tilde{S}$. RBFs are based on linear combinations of terms which include a single univariate function. Applying RBF to approximate a fuzzy function, a linear system wil...

Our aim in this article is to contribute the theory of Lipschitz free p-spaces for $$0<p\le 1$$ over Euclidean spaces $${\mathbb{R}}^d$$ and $${\mathbb{Z}}^d$$ . To that end, we show $${\mathcal{F}}_p({\mathbb{R}}^d)$$ admits a Schauder basis every $$p\in (0,1]$$ , thus generalizing corresponding result case $$p=1$$ by Hájek Pernecká (J Math Anal Appl 416(2):629–646, 2014, Theorem 3.1) answerin...

the idea of difference sequences of real (or complex) numbers was introducedby ki zmaz cite{kizmaz}. in this paper, using the difference operator and alacunary sequence, we introduce and examine the class of sequence $bv_{theta}left(  delta,mathcal{f}right)  .$ we study some of its properties likesolidity, symmetricity, etc.

Let $\mathcal{A}$ denote the class of functions $f$ which are analytic in open unit disk $\mathbb{U}$ and given by\[f(z)=z+\sum_{n=2}^{\infty }a_{n}z^{n}\qquad \left( z\in \mathbb{U}\right) .\]The coefficient functional $\phi _{\lambda }\left( f\right) =a_{3}-\lambda a_{2}^{2}$ on $f\in \mathcal{A}$ represents various geometric quantities. For example, _{1}\left( =a_{3}-a_{2}^{2}=S_{f}\left( 0\...

In this paper, We define a $\mathcal{F}$-functional and study $\mathcal{F}$-stability of $\lambda$-hypersurfaces, which extend result Colding-Minicozzi. Lower bound growth upper area for complete non-compact $\lambda$-hypersurfaces are studied.

We pursue two goals in this article. As our first goal, we construct a family $\mathcal{M}_G$ of Gibbs like measures on the set piecewise linear convex functions $g:\mathbb{R}^2\to\mathbb{R}$. It turns out that there is one-to-one correspondence between gradient such and $\textit{Laguerre tessellations}$. Each cell Laguerre tessellation polygon marked by vector $\rho\in\mathbb{R}^2$. measure $\...

Abstract In this paper we investigate the spectra and ergodic properties of multiplication operators convolution acting on Schwartz space $${\mathcal S}({\mathbb R})$$ S ( R ) rapidly decreasing functions, i.e., form $$M_h: {\mathcal R}...

Let $$z_0$$ and $$w_0$$ be given points in the open unit disk $$\mathbb {D}$$ with $$|w_0| < |z_0|$$ , $$\mathcal {H}_0$$ class of all analytic self-maps f normalized by $$f(0)=0$$ . In this paper, we establish third-order Dieudonné’s Lemma apply it to explicitly determine variability region $$\{f'''(z_0): f\in \mathcal {H}_0,f(z_0) =w_0, f'(z_0)=w_1\}$$ for $$z_0,w_0,w_1$$ give form extremal f...

This work is concerned to study the bouncing nature of universe for an isotropic configuration fluid $\mathcal{T}_{\alpha\beta}$ and Friedmann-Lema\^{i}tre-Robertson-Walker metric scheme. carried out under novel $f(\mathcal{G},\mathcal{T}_{\alpha \beta} \mathcal{T}^{\alpha \beta})$ gravitation by assuming a specific model i.e, $f(\mathcal{G},\mathcal{T}^2)=\mathcal{G}+\alpha \mathcal{G}^2+2\lam...