Showing papers in "Miskolc Mathematical Notes in 2019"
34 citations
TL;DR: In this article, the Taylor-Maclaurin coefficients fakg1kDpC1 of each of these subclasses of p-valently analytic functions were derived for the Fekete-Szegő functional given by ˇ̌̌ apC2 a 2 pC1.
Abstract: In this paper, we introduce and study some subclasses of p-valently analytic functions in the open unit disk U by applying the q-derivative operator and the fractional q-derivative operator in conjunction with the principle of subordination between analytic functions. For the Taylor-Maclaurin coefficients fakg1kDpC1 of each of these subclasses of p-valently analytic functions, we derive sharp bounds for the Fekete-Szegő functional given by ˇ̌̌ apC2 a 2 pC1 ˇ̌̌ : Relevant connections of the results presented in this paper with those derived in earlier works are also considered. 2010 Mathematics Subject Classification: 26A33; 33C20; 30C45; 30C50
34 citations
24 citations
21 citations
TL;DR: In this paper, the authors studied convergence and strong convergence of the sequence generated by the extragradient method for pseudo-monotone equilibrium problems in Hadamard spaces.
Abstract: In this paper, we study -convergence and strong convergence of the sequence generated by the extragradient method for pseudo-monotone equilibrium problems in Hadamard spaces. We first show -convergence of the generated sequence to a solution of the equilibrium problem, then the strong convergence of Halpern regularization method is proved. Finally we give some examples where the main results can be applied. 2010 Mathematics Subject Classification: 90C33; 74G10
17 citations
17 citations
TL;DR: In this article, a relation-theoretic contraction principle due to Alam and Imdad was extended to a nonlinear contraction using a relatively weaker class of continuous control functions employing a locally finitely T -transitive binary relation.
Abstract: In this paper, we extend relation-theoretic contraction principle due to Alam and Imdad to a nonlinear contraction using a relatively weaker class of continuous control functions employing a locally finitely T -transitive binary relation, which improves the corresponding fixed point theorems especially due to: Alam and Imdad (J. Fixed Point Theory Appl. 17 (2015) 693702), Agarwal et al: (Applicable Analysis, 87 (1) (2008) 109-116), Berzig and Karapinar (Fixed Point Theory Appl. 2013:205 (2013) 18 pp), Berzig et al: (Abstr. Appl. Anal. 2014:259768 (2014) 12 pp) and Turinici (The Sci. World J. 2014:169358 (2014) 10 pp). 2010 Mathematics Subject Classification: 47H10; 54H25
16 citations
TL;DR: In this paper, the system of difference equations was solved in closed form in terms of the Padovan numbers and the global stability of the corresponding positive equilibrium points was proved for some particular cases of this system.
Abstract: In this work we solve in closed form the system of difference equations \begin{equation*}
x_{n+1}=\dfrac{ay_nx_{n-1}+bx_{n-1}+c}{y_nx_{n-1}},\; y_{n+1}=\dfrac{ax_ny_{n-1}+by_{n-1}+c}{x_ny_{n-1}},\;n=0,1,, \end{equation*} where the initial values $x_{-1}$, $x_0$, $y_{-1}$ and $y_0$ are arbitrary nonzero real numbers and the parameters $a$, $b$ and $c$ are arbitrary real numbers with $c
e 0$ In particular we represent the solutions of some particular cases of this system in terms of Tribonacci and Padovan numbers and we prove the global stability of the corresponding positive equilibrium points The result obtained here extend those obtained in some recent papers
16 citations
13 citations
TL;DR: In this paper, the authors discuss two kinds of special values for the Bell polynomials of the second kind for two special sequences and derive an identity involving the combinatorial numbers.
Abstract: In the paper, by methods and techniques in combinatorial analysis and the theory of special functions, the authors discuss two kinds of special values for the Bell polynomials of the second kind for two special sequences, find a relation between these two kinds of special values for the Bell polynomials of the second kind, and derive an identity involving the combinatorial numbers.
12 citations
TL;DR: In this paper, the Hermite-Hadamard inequalities for harmonically convex functions via Katugampola fractional integrals were established and some Hermite Hadamard type inequalities of these classes functions were given.
Abstract: In this work, firstly, we established Hermite-Hadamard’s inequalities for harmonically convex functions via Katugampola fractional integrals. Then we give some Hermite-Hadamard type inequalities of these classes functions. 2010 Mathematics Subject Classification: 26A33; 26A51; 26D10
TL;DR: In this article, the authors considered the one dimensional initial-boundary problem for a pseudo-parabolic equation with time delay in second spatial derivative and obtained the error estimate for its solution.
Abstract: In this paper, the author considers the one dimensional initial-boundary problem for a pseudo-parabolic equation with time delay in second spatial derivative. To solve this problem numerically, the author constructs higher order difference method and obtain the error estimate for its solution. Based on the method of energy estimates the fully discrete scheme is shown to be convergent of order four in space and of order two in time. Some numerical examples illustrate the convergence and effectiveness of the numerical method. 2010 Mathematics Subject Classification: 65M12; 65M15; 65M22; 34K28
TL;DR: In this article, G-Radical supplemented modules are defined which generalize g-supplemented modules and some properties of g-radical supplemented modules were investigated, and it was proved that the finite sum of G-RSSs is g-Radically supplemented.
Abstract: In this work g-radical supplemented modules are defined which generalize gsupplemented modules. Some properties of g-radical supplemented modules are investigated. It is proved that the finite sum of g-radical supplemented modules is g-radical supplemented. It is also proved that every factor module and every homomorphic image of a g-radical supplemented module is g-radical supplemented. Let R be a ring. Then RR is g-radical supplemented if and only if every finitely generated R-module is g-radical supplemented. In the end of this work, it is given two examples for g-radical supplemented modules separating with g-supplemented modules. 2010 Mathematics Subject Classification: 16D10; 16D70
TL;DR: In this article, the convergence of the fitted mesh method applied to singularly perturbed Volterra delay-integro-differential equation is analyzed, where the mesh comprises a special nonuniform mesh on the first subinterval and uniform mesh on another part.
Abstract: In this paper, we analyze the convergence of the fitted mesh method applied to singularly perturbed Volterra delay-integro-differential equation. Our mesh comprises a special nonuniform mesh on the first subinterval and uniform mesh on another part. Error estimates are obtained using difference analogue of Gronwall’s inequality with delay. A numerical test that confirms the theoretical results is presented. 2010 Mathematics Subject Classification: 65L11; 65L12; 65L20; 65R20
TL;DR: In this article, Seiberg Witten like equations are constructed on 7 manifolds endowed with G2 structure, lifted by SU.3/ structure, and a global solution is obtained on the strictly Pseudoconvex CR 7 manifold for a given negative and constant scalar curvature.
Abstract: In this paper, Seiberg Witten like equations are constructed on 7 manifolds endowed with G2 structure, lifted by SU.3/ structure. Then a global solution is obtained on the strictly Pseudoconvex CR 7 manifolds for a given negative and constant scalar curvature. 2010 Mathematics Subject Classification: 15A66, 58Jxx
TL;DR: For Shilov-type parabolic systems with nonnegative genus and coefficients of bounded smoothness, the properties of differentiability of Green's function with respect to spatial variables are studied in this paper.
Abstract: For Shilov-type parabolic systems with nonnegative genus and coefficients of bounded smoothness, the properties of differentiability of Green’s function with respect to spatial variables are studied. 2010 Mathematics Subject Classification: 35K40; 35A08
TL;DR: In this article, the authors derived two nice explicit formulas and their corresponding inversion formulas for the Chebyshev polynomials of the first and second kinds, by virtue of the Fa\`a di Bruno formula, with the help of two identities for the Bell polynomial of the second kind, making use of a new inversion theorem for combinatorial coefficients.
Abstract: In the paper, starting from the Rodrigues formulas for the Chebyshev polynomials of the first and second kinds, by virtue of the Fa\`a di Bruno formula, with the help of two identities for the Bell polynomials of the second kind, and making use of a new inversion theorem for combinatorial coefficients, the authors derive two nice explicit formulas and their corresponding inversion formulas for the Chebyshev polynomials of the first and second kinds.
TL;DR: In this article, the authors used the Mellin transform of Airy function to derive the Green function of tri-harmonic heat equation in terms of the Airy functions, and used the Hankel functions of first kind to derive this representation.
Abstract: In this paper, using the Mellin transform of Airy function we present an integral addition formula for the function e x 3 . In deriving this representation, we make use of the Hankel functions of first kind and apply this representation to get the Green function of triharmonic heat equation in terms of the Airy functions. 2010 Mathematics Subject Classification: 33C10; 34B27; 35K30