Acta Universitatis Sapientiae, Mathematica

Abstract The goal of this paper is to generalize and refine some previous inequalities between the L P - norms of the sth derivative and of the polynomial itself, in the case when the zeros are outside of the open unit disk.

Abdullah Mir

Acta Universitatis Sapientiae Mathematica

Some integral inequalities for a polynomial with zeros outside the unit disk

一些关于在单位圆盘外有零点的多项式的积分不等式

Abstract In this note the convolved (u, v)-Lucas first kind and the convolved (u, v)-Lucas second kind p-polynomials are introduced and study some of their properties. Several identities related to the common generalization of convolved (u, v)-Lucas first and second kinds p-polynomials are also presented.

Adikanda Behera

Prasanta Kumar Ray

A common generalization of convolved (u, v)-Lucas first and second kinds p-polynomials

卷积（u, v）-Lucas第一类和第二类p-多项式的共同推广

Abstract In this paper by using hereditary classes [6], we define the notion of γ -Lindelöf modulo hereditary classes called γℋ-Lindelöf and obtain several properties of γℋ-Lindelöf spaces.

Ahmad Al-omari

Takashi Noiri

Generalizations of Lindelöf spaces via hereditary classes

通过遗传类推广Lindelöf空间

Abstract In the present paper we introduce the sequence spaces c 0 {ℳ, Λ , p, q}, c{ℳ, Λ, p, q} and l ∞ {ℳ, Λ, p, q} defined by a Musielak-Orlicz function ℳ = (ℳ k ). We study some topological properties and prove some inclusion relations between these spaces.

Sunil K. Sharma

Some classes of sequence spaces defined by a Musielak-Orlicz function

一些由Musielak-Orlicz函数定义的序列空间类

Abstract In this paper our main interest is to introduce a new type of generalized open sets defined in terms of an operation on a generalized topological space. We have studied some properties of this newly defined sets. As an application, we have introduced some weak separation axioms and discussed some of their properties. Finally, we have studied some preservation theorems in terms of some irresolute functions.

Ritu Sen

On generalized γ<sub>µ</sub>-closed sets and related continuity

关于广义γ<sub>µ</sub>-闭集及相关连续性

Abstract Let G = (V, E) be a simple graph with n vertices and m edges. ν(G) and c(G) = m − n + θ be the matching number and cyclomatic number of G, where θ is the number of connected components of G, respectively. Wang and Wong in [18] provided formulae for the upper and the lower bounds of the nullity η(G) of G as η(G) = n − 2ν(G) + 2c(G) and η(G) = n − 2ν(G) − c(G), respectively. In this paper, we restate the upper and the lower bounds of nullity η(G) of G utilizing omega invariant and inherently vertex degrees of G. Also, in the case of the maximal and the minimal nullity conditions are satisfied for G, we present both two main inequalities and many inequalities in terms of Omega invariant, analogously cyclomatic number, number of connected components and vertex degrees of G.

Mert Sinan Oz

Ismail Naci Cangul

A survey of the maximal and the minimal nullity in terms of omega invariant on graphs

图上关于omega不变量的最大和最小零化度的调查

Abstract Let S denote the class of functions f which are analytic and univalent in the unit disk 𝔻 = {z : |z| &lt; 1} and normalized with <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"> <m:mrow> <m:mtext>f</m:mtext> <m:mrow> <m:mo>(</m:mo> <m:mtext>z</m:mtext> <m:mo>)</m:mo> </m:mrow> <m:mo>=</m:mo> <m:mtext>z</m:mtext> <m:mo>+</m:mo> <m:msubsup> <m:mo>∑</m:mo> <m:mrow> <m:mtext>n</m:mtext> <m:mo>=</m:mo> <m:mn>2</m:mn> </m:mrow> <m:mo>∞</m:mo> </m:msubsup> <m:mrow> <m:msub> <m:mrow> <m:mi>α</m:mi> </m:mrow> <m:mtext>n</m:mtext> </m:msub> <m:msup> <m:mrow> <m:mtext>z</m:mtext> </m:mrow> <m:mtext>n</m:mtext> </m:msup> </m:mrow> </m:mrow> </m:math> {\rm{f}}\left( {\rm{z}} \right) = {\rm{z}} + \sum\nolimits_{{\rm{n = 2}}}^\infty {{\alpha _{\rm{n}}}{{\rm{z}}^{\rm{n}}}} . Using a method based on Grusky coefficients we study two problems over the class S : estimate of the fourth logarithmic coefficient and upper bound of the coefficient difference |α 5 | − |α 4 |.

Milutin Obradović

Nikola Tuneski

Two applications of Grunsky coefficients in the theory of univalent functions

Grunsky系数在单叶函数理论中的两个应用

Abstract This paper discusses the oscillatory behavior of solutions to a class of second-order nonlinear noncanonical neutral differential equations. Sufficient conditions for all solutions to be oscillatory are given. Examples are provided to illustrate all the main results obtained.

Said R. Grace

John R. Graef

Tongxing Li

Ercan Tunç

Oscillatory behavior of second-order nonlinear noncanonical neutral differential equations

二阶非线性非正则中立型微分方程的振荡行为

Abstract The aim is to introduce some relation theoretic variants of F−contraction in an F−metric space endowed with a binary relation R and to prove results for its fixed point. In the sequel, several classes of contractions are sharpened, generalized, and improved. Numerical examples are presented to illustrate the theoretical conclusions. As applications of the main results, we solve a Dirichlet-Neumann initial value problem and two Dirichlet boundary value problems.

Anita Tomar

Meena Joshi

S. K. Padaliya

On relation-theoretic F−contractions and applications in F−metric spaces

关于F-度量空间中的关系理论F-收缩及其应用

Abstract Let 𝒢 = 𝒢 (A, M, N, B) be a generalized matrix algebra over a commutative ring with unity. In the present article, we study k-semi-centralizing maps of generalized matrix algebras.

Abbreviation	Acta. Univ. Sapientiae. Matem.
Journal Impact	0.68
Quartiles(Global)	MATHEMATICS(Q3)

ISSN	1844-6094, 2066-7752
h-index	13

Publication Information	Publisher: de Gruyter，Publishing cycle: ，Journal Type: journal，Open Access Journals: No
Basic data	Year of publication: 2014，Proportion of original research papers: 100.00%，Self Citation Rate:0.00%， Gold OA Rate: 100.00%
Average review cycle	网友分享经验：10 Weeks

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Some integral inequalities for a polynomial with zeros outside the unit disk

A common generalization of convolved (u, v)-Lucas first and second kinds p-polynomials

Generalizations of Lindelöf spaces via hereditary classes

Some classes of sequence spaces defined by a Musielak-Orlicz function

On generalized γ_µ-closed sets and related continuity

A survey of the maximal and the minimal nullity in terms of omega invariant on graphs

Two applications of Grunsky coefficients in the theory of univalent functions

Oscillatory behavior of second-order nonlinear noncanonical neutral differential equations

On relation-theoretic F−contractions and applications in F−metric spaces

On k-semi-centralizing maps of generalized matrix algebras

Acta Universitatis Sapientiae, Mathematica

Journal Citation Format

A journal article with 1 author

A journal article with 2 authors

A journal article with 3 authors

A journal article with 5 or more authors

Books Citation Format

Thesis Citation Format

Web sites Citation Format

Patent Citation Format

Staying up late manually editing references? ivySCI automatically matches journals and helps you generate references with a single click.

Share Submission Experience

Some integral inequalities for a polynomial with zeros outside the unit disk

A common generalization of convolved (u, v)-Lucas first and second kinds p-polynomials

Generalizations of Lindelöf spaces via hereditary classes

Some classes of sequence spaces defined by a Musielak-Orlicz function

On generalized γµ-closed sets and related continuity

A survey of the maximal and the minimal nullity in terms of omega invariant on graphs

Two applications of Grunsky coefficients in the theory of univalent functions

Oscillatory behavior of second-order nonlinear noncanonical neutral differential equations

On relation-theoretic F−contractions and applications in F−metric spaces

On k-semi-centralizing maps of generalized matrix algebras

On generalized γ_µ-closed sets and related continuity