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On differentiable functions [PDF]
Bulletin of the American Mathematical Society, 1960 2. In this note, we intend to give a more detailed description of Eap. We prove the following THEOREM. The set Eap gives rise to a set of nonoverlapping and nonabutting open sub-intervals {/ 0 . Thus, each point of Eap is a limiting point of the set. I.e., EapQE'ap.
Fu Cheng Hsiang
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Algebras of differentiable functions [PDF]
Proceedings of the American Mathematical Society, 1954 1. Let M be a compact differentiable manifold of class Cr, 1
S. B. Myers
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Differentiable functions on 𝑐₀ [PDF]
Bulletin of the American Mathematical Society, 1969 John C. Wells
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On some Simpson's and Newton's type of inequalities in multiplicative calculus with applications
AIMS Mathematics, 2023 In this paper, we establish an integral equality involving a multiplicative differentiable function for the multiplicative integral. Then, we use the newly established equality to prove some new Simpson's and Newton's inequalities for multiplicative ...
Saowaluck Chasreechai +4 more
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A New Parameterless Filled Function Method for Global Optimization
Axioms, 2022 The filled function method is an effective way to solve global optimization problems. However, its effectiveness is greatly affected by the selection of parameters, and the non-continuous or non-differentiable properties of the constructed filled ...
Haiyan Liu +3 more
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Axioms, 2023 Hermite–Hadamard inequality is a double inequality that provides an upper and lower bounds of the mean (integral) of a convex function over a certain interval.
Ibtisam Aldawish +2 more
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Continuous Regular Functions [PDF]
Logical Methods in Computer Science, 2020 Following Chaudhuri, Sankaranarayanan, and Vardi, we say that a function $f:[0,1] \to [0,1]$ is $r$-regular if there is a B\"{u}chi automaton that accepts precisely the set of base $r \in \mathbb{N}$ representations of elements of the graph of $f$.
Alexi Block Gorman +7 more
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Composite differentiable functions [PDF]
Duke Mathematical Journal, 1996 19 pages, hard copy available on request.
Bierstone, Edward +2 more
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Representation of a Standard Continuous Function by a Microscope [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2010 The aim of this paper is to provide a representation of a standard continuous function and a standard differentiable function by mean of a microscope. More precisely, under certain conditions, the following results have been obtained.
Tahir Ismail, Hind Saleh
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Differentially transcendental functions [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2008 The aim of this paper is to exhibit a method for proving that certain analytic functions are not solutions of algebraic differential equations. The method is based on model-theoretic properties of differential fields and properties of certain known transcendental differential functions, as of $ (x)$.
Mijajlović, Žarko, Malešević, Branko
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