Results 11 to 20 of about 858 (163)
Karpatsʹkì Matematičnì Publìkacìï, 2012 The conditions are found, under which the belonging to Valiron convergenceclass of entire functions $f$ and $g$ implies the belonging to thisclass of Gelfond-Leont'ev derivative of Hadamard compositionof functions $f$ and $g$ and of Hadamard composition ...
Mulyava O.M., Sheremeta M.M.
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Relative growth of Hadamard compositions of series in systems of functions [PDF]
Electronic Journal of MathematicsMyroslav M. Sheremeta
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Pseudostarlikeness and Pseudoconvexity of Multiple Dirichlet Series
Universal Journal of Mathematics and Applications, 2023 Let $p\in {\Bbb N}$, $s=(s_1,\ldots,s_p)\in {\Bbb C}^p$, $h=(h_1,\ldots,h_p)\in {\Bbb R}^p_+$, $(n)=(n_1,\ldots,n_p)\in {\Bbb N}^p$ and the sequences $\lambda_{(n)}=(\lambda^{(1)}_{n_1},\ldots,\lambda^{(p)}_{n_p})$ are such that $0<\lambda^{(j)}_1 ...
Myroslav Sheremeta
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STABILITY-PRESERVING PERTURBATION OF THE MAXIMAL TERMS OF DIRICHLET SERIES
Проблемы анализа, 2022 We study stability of the maximal term of the Dirichlet series with positive exponents, the sum of which is an entire function. This problem is of interest, because the Leont’ev formulas for coefficients calculated using a biorthogonal system of ...
A. M. Gaisin, N. N. Aitkuzhina
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Al-Mustansiriyah Journal of Science, 2021 In the present work, we derive some properties of subordination and superordination results associated with the Hadamard product concept involving the composition of the differential operator.
Huda Fawzi Isawi, Abdul Rahman S. Juma
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Pseudostarlike and pseudoconvex Dirichlet series of the order $\alpha$ and the type $\beta$
Математичні Студії, 2020 The concepts of the pseudostarlikeness of order $\alpha\in [0,\,1)$ and type $\beta\in (0,\,1]$ and the pseudoconvexity of order $\alpha$ and type $\beta$ are introduced for Dirichlet series with null abscissa of absolute convergence.
M.M. Sheremeta
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On the novel Hermite-Hadamard inequalities for composite inverse functions
Filomat, 2023 The goal of this research is to discover some identities in the general form of the sum of left and right-sided weighted fractional integrals of a function concerning to another function. Using composite convex functions, several fractional Hermite-Hadamard inequalities are derived.
Muhammad Samraiz +4 more
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Some Interesting Inequalities for the Class of Generalized Convex Functions of Higher Order
Journal of Function Spaces, 2023 In this paper, we study a generalized version of strongly reciprocally convex functions of higher order. Firstly, we prove some basic properties for addition, scalar multiplication, and composition of functions.
Limei Liu +4 more
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On certain subclass of Dirichlet series absolutely convergent in half-plane
Математичні Студії, 2022 Denote by $\mathfrak{D}_0$ a class of absolutely convergent in half-plane $\Pi_0=\{s\colon \text{Re}\,s 0$, $h0$. For $0\le\alpha\alpha$ for all $s\in \Pi_0$.
M. M. Sheremeta
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Karpatsʹkì Matematičnì Publìkacìï, 2013 The conditions are found, under which the belonging to Valiron convergence class of entire functions $f$ and $g$ implies the belonging to this class of Gelfond-Leont'ev derivative of Hadamard composition of functions $f$ and $g$ and of Hadamard ...
O. M. Mulyava, M. M. Sheremeta
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