Results 1 to 10 of about 21 (15)
On Generalized Flett's Mean Value Theorem [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 We present a new proof of generalized Flett's mean value theorem due to Pawlikowska (from 1999) using only the original Flett's mean value theorem. Also, a Trahan-type condition is established in general case.
Jana Molnárová
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Flett's mean value theorem in topological vector spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 We prove some generalizations of Flett's mean value theorem for a class of Gateaux differentiable functions f:X→Y, where X and Y are topological vector spaces.
Robert C. Powers +2 more
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On a functional equation related to a generalization of Flett's mean value theorem [PDF]
International Journal of Mathematics and Mathematical Sciences, 2000 In this paper, we characterize all the functions that attain their Flett mean value at a particular point between the endpoints of the interval under consideration. These functions turn out to be cubic polynomials and thus, we also characterize these.
T. Riedel, Maciej Sablik
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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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Abstract and Applied Analysis, Volume 2012, Issue 1, 2012., 2012 We obtain some subordination‐ and superordination‐preserving properties for a class of multiplier transformations associated with Noor integral operators defined on the space of normalized analytic functions in the open unit disk. The sandwich‐type theorems for these transformations are also considered.
Nak Eun Cho +2 more
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Inner Functions in Lipschitz, Besov, and Sobolev Spaces
Abstract and Applied Analysis, Volume 2011, Issue 1, 2011., 2011 We study the membership of inner functions in Besov, Lipschitz, and Hardy‐Sobolev spaces, finding conditions that enable an inner function to be in one of these spaces. Several results in this direction are given that complement or extend previous works on the subject from different authors.
Daniel Girela +3 more
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On an Integral‐Type Operator from Zygmund‐Type Spaces to Mixed‐Norm Spaces on the Unit Ball
Abstract and Applied Analysis, Volume 2010, Issue 1, 2010., 2010 The boundedness and compactness of an integral‐type operator recently introduced by the author from Zygmund‐type spaces to the mixed‐norm space on the unit ball are characterized here.
Stevo Stević, H. B. Thompson
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Note on Product Summability of an Infinite Series
International Journal of Mathematics and Mathematical Sciences, Volume 2008, Issue 1, 2008., 2008 New results concerning product summability of an infinite series are given. Some special cases are also deduced.
W. T. Sulaiman, Huseyin Bor
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N‐harmonic extensions of weighted integrable distributions
Journal of Function Spaces, Volume 4, Issue 3, Page 305-327, 2006., 2006 We obtain n‐harmonic extensions to the Cartesian product of ncopies of the upper half‐plane, of distributions in the weighted space w12?wn2DL1′, which is known to be the optimal space of tempered distributions that are S′‐convolvable with a natural product domain version of the Poisson kernel.
Josefina Alvarez +3 more
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A note on absolute summability factors
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 3, Page 479-482, 1994., 1994 In this paper, a generalization of a theorem of Mishra and Srivastava [4] on |C,1|k summability factors has been proved.
Hüseyın Bor
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