Published in Mathematica Slovaca
Let A be the set of all analytic functions f defined on the open unit disk D satisfying f(0) = f'(0) − 1 = 0. Let φNe(z) := 1 + z − z3=3 be the recently introduced Carathéodory function which maps the unit circle ∂ D $ \partial \mathbb{D} $D onto a 2-cusped kidney-shaped curve called nephroid given by ((u−1)2+v2−4a)3−4v22=0. ${{\left( {{(u-1)}^{2}}...
Published in Mathematica Slovaca
In this present work, we perceive the ideas of rough weighted statistical limit set as well as rough weighted statistical cluster points set and originate these conceptions into asymmetric metric spaces. On this context we frame out several results which substantially intensify these perceptions. While explicating such notions in terms of their asy...
Published in Mathematica Slovaca
This study introduces a parsimonious and tractable generator for continuous distribution called the Teissier-G family of distributions for continuous random variables and examines the distributions belonging to this family as the sub-models. Some general statistical characteristics and sub-models of the new generator were examined and studied. Simi...
Published in Mathematica Slovaca
This paper deals with the existence and numerical estimates of solutions for a class of fractional differential equations, while the nonlinear part of the problem admits some Special hypotheses. In particular, for a precise localization of the parameter, the existence of a non-zero solution is established requiring the sublinearity of nonlinear par...
Published in Mathematica Slovaca
The symbol 𝓕n(X) denotes the hyperspace of all nonempty subsets of a Hausdorff space X having at most n points. This hyperspace is endowed with the Vietoris topology. For a mapping between Hausdorff spaces f : X → Y, define the induced mapping fn : 𝓕n(X) → 𝓕n(Y) by fn(A) = f(A) (the image of A under f). In this paper, we study the relationship betw...
Published in Mathematica Slovaca
The logarithmic distribution and a given lifetime distribution are compounded to construct a new family of lifetime distributions. The compounding is performed with respect to maxima. Expressions are derived for lifetime properties like moments and the behavior of extreme values. Estimation procedures for the method of maximum likelihood are also d...
Published in Mathematica Slovaca
In this paper, we present some generalizations and further refinements of Young-type inequality due to Choi [Math. Inequal. Appl. 21 (2018), 99–106], which strengthen the results obtained by Ighachane et al. [Math. Inequal. Appl. 23 (2020), 1079–1085]. As applications of these scalars results, we can get some inequalities for determinants, trace an...
Published in Mathematica Slovaca
In this paper, our aim is to prove certain kinds of Steffensen type integral inequalities for the pseudo-integral and the discrete pseudo-integral. The observations concern two cases of the real semiring with pseudo-operations with respect to pseudo-integrals: the first semiring, where pseudo-operations are defined via a monotone and continuous fun...
Published in Mathematica Slovaca
Let f k ( n ) := ∑ d k ∣ n Φ ( d ) , $$ f_k(n):=\sum\limits_{d^k \mid n} \Phi(d), $$ where Φ(d) is a multiplicative function, Φ(d) = O(dε). We study asymptotic behaviour of the sum T f k c ( N ) := ∑ n ≤ N f k n c , 1
Published in Mathematica Slovaca
In this paper, we prove that every hemi-slant warped product submanifold of the form Nθ ×f N⊥ in a nearly trans-Sasakian manifold M͠ satisfies the following inequality: ∥h∥2 ≥ n2cot2θ(∥∇̂(ln f)∥2 – β2), whereas the warped product by reversing these two factors, i.e., N⊥ ×f Nθ satisfying the inequality: ∥h∥2≥n19cos2θ(∥∇^(lnf)∥2−β2), $\begin{array}...
