Results 1 to 10 of about 43 (43)
A Cauchy-type generalization of Flett's theorem
Demonstratio Mathematica, 2021 We prove a Cauchy-type generalization of Flett’s theorem and note its geometric interpretations. Several other mean value theorems extending further the result, which involve both real and complex functions, are also proved.
Markov Lubomir
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Demonstratio Mathematica, 2022 In this article, by virtue of expansions of two finite products of finitely many square sums, with the aid of series expansions of composite functions of (hyperbolic) sine and cosine functions with inverse sine and cosine functions, and in the light of ...
Qi Feng
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Inequalities of trapezoidal type involving generalized fractional integrals
Alexandria Engineering Journal, 2020 During the last years several fractional integrals were investigated. Having this idea in mind, in the present article, some new generalized fractional integral inequalities of the trapezoidal type for λφ–preinvex functions, which are differentiable and ...
Dumitru Baleanu +2 more
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On some mean value theorem via covering argument
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 We show how the full covering argument can be used to prove some type of Cauchy mean value theorem.
Sokołowski Dariusz
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On some properties of the conformable fractional derivative
Moroccan Journal of Pure and Applied Analysis, 2020 In this paper, we prove that the intermediate value theorem remains true for the conformable fractional derivative and we prove some useful results using the definition of conformable fractional derivative given in R. Khalil, M. Al Horani, A.
Azennar Radouane, Mentagui Driss
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A remark on local fractional calculus and ordinary derivatives
Open Mathematics, 2016 In this short note we present a new general definition of local fractional derivative, that depends on an unknown kernel. For some appropriate choices of the kernel we obtain some known cases. We establish a relation between this new concept and ordinary
Almeida Ricardo +2 more
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Generalization of certain subclasses of analytic functions
International Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 4, Page 725-732, 1987., 1986 We introduce the subclass Tj(n, m, α) of analytic functions with negative coefficients by the operator Dn. Coefficient inequalities and distortion theorems of functions in Tj(n, m, α) are determind. Further, distortion theorems for fractional calculus of functions in Tj(n, m, α) are obtained.
Tadayuki Sekine
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A family of singular functions and its relation to harmonic fractal analysis and fuzzy logic
Open Mathematics, 2016 We study a parameterized family of singular functions which appears in a paper by H. Okamoto and M. Wunsch (2007). Various properties are revisited from the viewpoint of fractal geometry and probabilistic techniques.
de Amo Enrique +2 more
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A simultaneous solution to two problems on derivatives
International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 3, Page 517-519, 1986., 1986 Let A be a nonvoid countable subset of the unit interval [0, 1] and let B be an Fσ‐subset of [0, 1] disjoint from A. Then there exists a derivative f on [0, 1] such that 0 ≤ f ≤ 1, f = 0 on A, f > 0 on B, and such that the extended real valued function 1/f is also a derivative.
F. S. Cater
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Two large subsets of a functional space
International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 1, Page 189-191, 1985., 1985 Let P1 denote the Banach space composed of all bounded derivatives f of everywhere differentiable functions on [0, 1] such that the set of points where f vanishes is dense in [0, 1]. Let D0 consist of those functions in P that are unsigned on every interval, and let D1 consist of those functions in P1 that vanish on dense subsets of measure zero.
F. S. Cater
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