2020-02-28T23:02:58Z http://www.kjm-math.org/?_action=export&rf=summon&issue=6202
2017-10-01 10.22034
Khayyam Journal of Mathematics Khayyam J. Math. 2017 3 2 Approximation with Certain Szász–Mirakyan Operators Vijay Gupta Neha Malik In the current article, we consider different growth conditions for studying the well known <span>Szász</span><span>–</span><span>Mirakyan</span> 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. Szász–Mirakyan operators exponential functions moment generating functions quantitative results 2017 10 01 90 97 http://www.kjm-math.org/article_47347_349e693afa93543a2ebdafa3c02235d6.pdf
2017-10-01 10.22034
Khayyam Journal of Mathematics Khayyam J. Math. 2017 3 2 New Inequalities of Hermite-Hadamard Type for Log-Convex Functions Silvestru Dragomir Some new inequalities of Hermite-Hadamard type for log-convex functions defined on real intervals are given. Convex functions integral inequalities log-convex functions 2017 10 01 98 115 http://www.kjm-math.org/article_47458_6bd0985d105bd8a56c401a3485e4ff7a.pdf
2017-10-01 10.22034
Khayyam Journal of Mathematics Khayyam J. Math. 2017 3 2 Linear Preservers of Right SGUT-Majorization on \$mathbb{R}_{n}\$ Ahmad Mohammadhasani Asma Ilkhanizadeh Manesh 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<br />\$mathbb{R}_{n}\$. Linear preserver g-row substochastic matrix rsgut-majorization strong linear preserver 2017 10 01 116 133 http://www.kjm-math.org/article_49229_e0124f663440f696b19d3f546bd5959d.pdf
2017-10-01 10.22034
Khayyam Journal of Mathematics Khayyam J. Math. 2017 3 2 A Class of Sequence Spaces Defined by Fractional Difference Operator and Modulus Function Parmeshwary Srivastava Sanjay Mahto 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. Sequence space fractional difference operator modulus function paranorm 2017 10 01 134 146 http://www.kjm-math.org/article_49370_54cd14a2f2f2a52be1bad55c2675a048.pdf
2017-10-01 10.22034
Khayyam Journal of Mathematics Khayyam J. Math. 2017 3 2 Approximation by Stancu Type Generalized Srivastava-Gupta Operators Based On Certain Parameter Alok Kumar 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. Srivastava-Gupta operators Modulus of continuity Rate of convergence Weighted approximation Voronovskaja type asymptotic formula 2017 10 01 147 159 http://www.kjm-math.org/article_49477_c721b3df5855b11df8c43e7511792c97.pdf
2017-10-01 10.22034
Khayyam Journal of Mathematics Khayyam J. Math. 2017 3 2 Strong Differential Subordinations for Higher-Order Derivatives of Multivalent Analytic Functions Defined by Linear Operator Abbas Kareem Wanas Abdulrahman Majeed 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. Analytic functions strong differential subordinations convex function higher-order derivatives linear operator 2017 10 01 160 171 http://www.kjm-math.org/article_50396_3a9c595bf4db80f7a65ddc44ceca0cc6.pdf
2017-10-01 10.22034
Khayyam Journal of Mathematics Khayyam J. Math. 2017 3 2 Holomorphic Structure of Middle Bol Loops Temitope Jaiyeola Sunday David Emmanuel Ilojide Yakubu Oyebo A loop \$(Q,cdot,backslash,/)\$ is called a middle Bol loop if it obeys the identity \$x(yzbackslash x)=(x/z)(ybackslash x)\$.<br />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. holomorph of loop Bol loops middle Bol loops 2017 10 01 172 184 http://www.kjm-math.org/article_51111_86a46ee60fe8a3b704ee4a6151be54ec.pdf
2017-10-01 10.22034
Khayyam Journal of Mathematics Khayyam J. Math. 2017 3 2 New Properties Under Generalized Contractive Conditions Hakima Bouhadjera The aim of this contribution is to establish some common fixed point<br />theorems for single and set-valued maps under contractive conditions of<br />integral type on a symmetric space. These maps are assumed to satisfy new<br />properties which extend the results of Aliouche , Aamri and El<br />Moutawakil  and references therein, also they generalize the<br />notion of non-compatible and non-\$delta\$-compatible maps in the setting of<br />symmetric spaces. Weakly compatible maps non-δ-compatible maps properties \$(E.A)\$ \$(H_{E})\$ \$(HB.1)\$ and \$(HB.2)\$ common fixed point theorems symmetric space 2017 10 01 185 194 http://www.kjm-math.org/article_51180_2a8c3210f59743054d2de1df31c38635.pdf