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The second laplace-Beltrami operator on rotational hypersurfaces in the euclidean 4-space
(Yıldız Teknik Üniversitesi, 2017)
We consider rotational hypersurface in the four dimensional Euclidean space. Wecalculate the mean curvature and the Gaussian curvature, and some relations of therotational hypersurface. Moreover, we de ne the second ...
Implicit equations of the henneberg-type minimal surface in the four dimensional euclidean space
(2018)
Considering the Weierstrass data as $(\psi ,f,g)=( 2,1-z^{-m},z^{n})$, we introduce a two parameter family of Henneberg type minimal surface that we call $\mathfrak{H}_{m,n}$ for positive integers $(m,n)$ by using the ...
Torus hypersurface in 4-space
(Ahi Evran Üniversitesi, 2018)
We consider torus hypersurface in the four dimensional Euclideanspace E4. We give some basic notions of E4, then we define rotational hypersur-face. Finally, we define torus hypersurface, and calculate its curvatures with ...
On statistical convergence with respect to measure
(Journal of Classical Analysis, 2017-01)
Several notions of convergence for subsets of metric spaces appear in the literature. In
this paper, for real valued measurable functions defined on a measurable space (X,M ,μ), we obtain a statistical version of Lebesque’s ...
Lacunary I₂-invariant convergence of double sequences of functions on amenable semigroups
(Karamanoğlu Mehmetbey Üniversitesi, 2018-10-04)
In this study, we introduce the concept of lacunary I2-invariant convergence, lacunary
I∗2-invariant convergence and lacunary I2-invariant Cauchy for double sequences in the
topology introduced by random 2-normed spaces. ...
Astrohelicoidal hypersurfaces in 4-space
(International Conference on Mathematics and Mathematics Education, 2019)
We consider an astrohelicoidal hypersurface which its profile curve has astroid curve
in the four dimensional Euclidean space E4. We also calculate Gaussian curvature and the mean curvature, and Weingarten relation of the ...
I₂-convergence and I₂-cauchy double sequences in topological groups
(Zonguldak Bülent Ecevit Üniversitesi, 2018-05)
Let 2N×N be a family of all subsets of N×N. Following the definition of ideal convergence in a metric space by Kostyrko et al. in 2000, ideal convergence for double sequences in a metric space was introduced by Das et al. ...
I asymptotically lacunary equivalent set sequences defined by a modulus function
(Acta Universitatis Apulensis, 2015-03)
Some results about ΔI-statistically pre-cauchy sequences with an orlicz function
(Springer, 2020-01-01)
ΔI-In this study, we define the concept of I-statistically convergence for difference sequences and we use an Orlicz function to obtain more general results. We also show that an ΔI-statistically convergent sequence with ...
New sequence spaces with respect to a sequence of modulus functions
(3rd International Intuitionistic Fuzzy Sets and Contemporary Mathematics Conference (IFSCOM 2016), 2016-08-29)
In this talk, we introduce the notion of AI-invariant statistical convergence, AI-lacunary invariant statistical convergence with respect to a sequence of modulus functions. We establish some inclusion relations between ...