@Article{Gupta2017,
author="Gupta, Vijay
and Malik, Neha",
title="Approximation with Certain Szász–Mirakyan Operators",
journal="Khayyam Journal of Mathematics",
year="2017",
volume="3",
number="2",
pages="90-97",
abstract="In the current article, we consider different growth conditions for studying the well known Szász–Mirakyan operators, which were introduced in the mid-twentieth century. Here, we obtain a new approach to find the moments using the concept of moment generating functions. Further, we discuss a uniform estimate and compare convergence behavior with the recently studied one.",
issn="2423-4788",
doi="10.22034/kjm.2017.47347",
url="http://www.kjm-math.org/article_47347.html"
}
@Article{Dragomir2017,
author="Dragomir, Silvestru Sever",
title="New Inequalities of Hermite-Hadamard Type for Log-Convex Functions",
journal="Khayyam Journal of Mathematics",
year="2017",
volume="3",
number="2",
pages="98-115",
abstract="Some new inequalities of Hermite-Hadamard type for log-convex functions defined on real intervals are given.",
issn="2423-4788",
doi="10.22034/kjm.2017.47458",
url="http://www.kjm-math.org/article_47458.html"
}
@Article{Mohammadhasani2017,
author="Mohammadhasani, Ahmad
and Ilkhanizadeh Manesh, Asma",
title="Linear Preservers of Right SGUT-Majorization on $\mathbb{R}_{n}$",
journal="Khayyam Journal of Mathematics",
year="2017",
volume="3",
number="2",
pages="116-133",
abstract="A matrix $R$ is called a $\textit{generalized row substochastic}$ (g-row substochastic) if the sum of entries on every row of $R$ is less than or equal to one. For $x$, $y \in \mathbb{R}_{n}$, it is said that $x$ is $\textit{rsgut-majorized}$ by $y$ (denoted by $ x \prec_{rsgut} y$ ) if there exists an $n$-by-$n$ upper triangular g-row substochastic matrix $R$ such that $x=yR$. In the present paper, we characterize the linear preservers and strong linear preservers of rsgut-majorization on$\mathbb{R}_{n}$.",
issn="2423-4788",
doi="10.22034/kjm.2017.49229",
url="http://www.kjm-math.org/article_49229.html"
}
@Article{Srivastava2017,
author="Srivastava, Parmeshwary Dayal
and Mahto, Sanjay Kumar",
title="A Class of Sequence Spaces Defined by Fractional Difference Operator and Modulus Function",
journal="Khayyam Journal of Mathematics",
year="2017",
volume="3",
number="2",
pages="134-146",
abstract="A class of vector-valued sequence spaces is introduced employing the fractional difference operator $\Delta^{(\alpha)}$, a sequence of modulus functions and a non-negative infinite matrix. Sequence spaces of this class generalize many sequence spaces which are defined by difference operators and modulus functions. It is proved that the spaces of this class are complete paranormed spaces under certain conditions. Some properties of these spaces are studied and it is shown that the spaces are not solid in general.",
issn="2423-4788",
doi="10.22034/kjm.2017.49370",
url="http://www.kjm-math.org/article_49370.html"
}
@Article{Kumar2017,
author="Kumar, Alok",
title="Approximation by Stancu Type Generalized Srivastava-Gupta Operators Based On Certain Parameter",
journal="Khayyam Journal of Mathematics",
year="2017",
volume="3",
number="2",
pages="147-159",
abstract="In the present paper, we introduce a Stancu type generalization of generalized Srivastava-Gupta operators based on certain parameter. We obtain the moments of the operators and then prove the basic convergence theorem. Next, the Voronovskaja type asymptotic formula and some direct results for the above operators are discussed. Also, weighted approximation and rate of convergence by these operators in terms of modulus of continuity are studied. Then, we obtain point-wise estimates using the Lipschitz type maximal function. Lastly, we propose a King type modification of these operators to obtain better estimates.",
issn="2423-4788",
doi="10.22034/kjm.2017.49477",
url="http://www.kjm-math.org/article_49477.html"
}
@Article{Wanas2017,
author="Wanas, Abbas Kareem
and Majeed, Abdulrahman H.",
title="Strong Differential Subordinations for Higher-Order Derivatives of Multivalent Analytic Functions Defined by Linear Operator",
journal="Khayyam Journal of Mathematics",
year="2017",
volume="3",
number="2",
pages="160-171",
abstract="In the present paper, we introduce and study a new class of higher-order derivatives multivalent analytic functions in the open unit disk and closed unit disk of the complex plane by using linear operator. Also we obtain some interesting properties of this class and discuss several strong differential subordinations for higher-order derivatives of multivalent analytic functions.",
issn="2423-4788",
doi="10.22034/kjm.2017.50396",
url="http://www.kjm-math.org/article_50396.html"
}
@Article{Jaiyeola2017,
author="Jaiyeola, Temitope Gbolahan
and David, Sunday Peter
and Ilojide, Emmanuel
and Oyebo, Yakubu Tunde",
title="Holomorphic Structure of Middle Bol Loops",
journal="Khayyam Journal of Mathematics",
year="2017",
volume="3",
number="2",
pages="172-184",
abstract="A loop $(Q,\cdot,\backslash,/)$ is called a middle Bol loop if it obeys the identity $x(yz\backslash x)=(x/z)(y\backslash x)$.To every right (left) Bol loop corresponds a middle Bol loop via an isostrophism. In this paper, the structure of the holomorph of a middle Bol loop is explored. For some special types of automorphisms, the holomorph of a commutative loop is shown to be a commutative middle Bol loop if and only if the loop is a middle Bol loop and its automorphism group is abelian and a subgroup of both the group of middle regular mappings and the right multiplication group. It was found that commutativity (flexibility) is a necessary and sufficient condition for holomorphic invariance under the existing isostrophy between middle Bol loops and the corresponding right (left) Bol loops. The right combined holomorph of a middle Bol loop and its corresponding right (left) Bol loop was shown to be equal to the holomorph of the middle Bol loop if and only if the automorphism group is abelian and a subgroup of the multiplication group of the middle Bol loop. The obedience of an identity dependent on automorphisms was found to be a necessary and sufficient condition for the left combined holomorph of a middle Bol loop and its corresponding left Bol loop to be equal to the holomorph of the middle Bol loop.",
issn="2423-4788",
doi="10.22034/kjm.2017.51111",
url="http://www.kjm-math.org/article_51111.html"
}
@Article{Bouhadjera2017,
author="Bouhadjera, Hakima",
title="New Properties Under Generalized Contractive Conditions",
journal="Khayyam Journal of Mathematics",
year="2017",
volume="3",
number="2",
pages="185-194",
abstract="The aim of this contribution is to establish some common fixed pointtheorems for single and set-valued maps under contractive conditions ofintegral type on a symmetric space. These maps are assumed to satisfy newproperties which extend the results of Aliouche [3], Aamri and ElMoutawakil [2] and references therein, also they generalize thenotion of non-compatible and non-$\delta$-compatible maps in the setting ofsymmetric spaces.",
issn="2423-4788",
doi="10.22034/kjm.2017.51180",
url="http://www.kjm-math.org/article_51180.html"
}