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New modification of the Post Widder operators preserving exponential functions
Arab Journal of Basic and Applied SciencesThe current article deals with a modification of the Post-Widder operators which reproduce the exponential functions both [Formula: see text] and [Formula: see text] for [Formula: see text] The central moments, uniform convergence of the operators and ...
Melek Sofyalıoğlu Aksoy
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Pre-functions and Extended pre-functions of Complex Variables
Journal of Nigerian Society of Physical Sciences, 2023 Pre-functions are functions that possess a sequence $\{f_{n}(z,\beta)\}$ which tends to one of the elementary functions as $n$ tends to infinity and $\beta$ tends to 0.
Thirumalai A, Muthunagai K, Ritu Agarwal
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Generalised Exponential Families and Associated Entropy Functions
Entropy, 2008 A generalised notion of exponential families is introduced. It is based on the variational principle, borrowed from statistical physics. It is shown that inequivalent generalised entropy functions lead to distinct generalised exponential families.
Jan Naudts
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Advanced-Level Students’ Understanding of Exponential Equations: A Zimbabwean Case Study
MEJ (Mathematics Education Journal), 2023 This paper reports on a study which explored high school students’ conceptual understanding of the techniques of exponential functions. Thirty-one advanced-level students participated in the study.
Lillias, Hamufari, Natsai Mutambara +1 more
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On the Norms of RFMLR-Circulant Matrices with the Exponential and Trigonometric Functions
Journal of Mathematics, 2021 In this paper, based on combinatorial methods and the structure of RFMLR-circulant matrices, we study the spectral norms of RFMLR-circulant matrices involving exponential forms and trigonometric functions.
Baijuan Shi
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On Extended Convex Functions via Incomplete Gamma Functions
Journal of Function Spaces, 2021 Convex functions play an important role in many areas of mathematics. They are especially important in the study of optimization problems where they are distinguished by a number of convenient properties. In this paper, firstly we introduce the notion of
Yan Zhao +3 more
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MathematicsThis paper addresses the valuation of European options, which involves the complex and unpredictable dynamics of fractal market fluctuations. These are modeled using the α-order time-fractional Black–Scholes equation, where the Caputo fractional ...
Xin Cai, Yihong Wang
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Exponential Convex Functions with Respect to $s$ [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, we study the concept of exponential convex functions with respect to $s$ and prove Hermite-Hadamard type inequalities for the newly introduced this class of functions.
Mahir Kadakal
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Ibragimov–Gadjiev operators preserving exponential functions
Journal of Inequalities and ApplicationsIn this paper, a modification of general linear positive operators introduced by Ibragimov and Gadjiev in 1970 is constructed. It is shown that this modification preserves exponential mappings and also contains modified Bernstein-, Szász- and Baskakov ...
Serap Herdem
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INVARIANT SUBSPACES IN UNBOUNDED DOMAINS
Проблемы анализа, 2021 We study subspaces of functions analytic in an unbounded convex domain of the complex plane and invariant with respect to the differentiation operator.
A. S. Krivosheev, O. A. Krivosheeva
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