Results 41 to 50 of about 360 (83)
, 2013 This paper shows a simple construction of the continuous involutions of real intervals in terms of the continuous even functions. We also study the smooth involutions defined by symmetric equations. Finally, we review some applications, in particular the
Zampieri, Gaetano
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On derivations with respect to finite sets of smooth functions
, 2017 The purpose of this paper is to show that functions that derivate the two-variable product function and one of the exponential, trigonometric or hyperbolic functions are also standard derivations. The more general problem considered is to describe finite
Grünwald, Richárd, Páles, Zsolt
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Cauchy's functional equation and extensions: Goldie's equation and inequality, the Go{\l}\k{a}b-Schinzel equation and Beurling's equation [PDF]
, 2014 The Cauchy functional equation is not only the most important single functional equation, it is also central to regular variation. Classical Karamata regular variation involves a functional equation and inequality due to Goldie; we study this, and its ...
Bingham, N. H., Ostaszewski, A. J.
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A composite functional equation with additive solutions
Publicationes mathematicae (Debrecen), 2006 Hamel’s celebrated paper is recalled on the centenary of its publication. Then the concept of Hamel basis is applied for the discussion of a recent problem of the American Mathematical Monthly. 1.
Z. Boros +3 more
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Stability results in ℒ-fuzzy normed spaces for a cubic functional equation
Journal of Inequalities and Applications, 2012 We establish some stability results concerning the functional equation nf(x+ny)+f(nx−y)=n(n2+1)2[f(x+y)+f(x−y)]+(n4−1)f(y), where n≥2 is a fixed integer, in the setting of ℒ-fuzzy normed spaces that in turn generalize a Hyers-Ulam stability result in ...
Sang-Baek Lee, W. Park, J. Bae
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Derivation Pairs on Rings and RNGs
Annales Mathematicae SilesianaeWe generalize a classical result about derivation pairs on function algebras. Specifically, we describe the forms of derivation pairs on rings and rngs (non-unital rings) which are not assumed to be commutative.
Ebanks Bruce
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Approximate Hermite-Hadamard type inequalities for approximately convex functions [PDF]
, 2012 In this paper, approximate lower and upper Hermite--Hadamard type inequalities are obtained for functions that are approximately convex with respect to a given Chebyshev ...
Makó, Judit, Páles, Zsolt
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Non-differentiable functions defined in terms of classical representations of real numbers [PDF]
, 2017 The present article is devoted to functions from a certain subclass of non-differentiable functions. The arguments and values of considered functions represented by the s-adic representation or the nega-s-adic representation of real numbers.
Serbenyuk, Symon
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On a Generalized Conjecture by Alzer and Matkowski
Annales Mathematicae SilesianaeWe study a recent conjecture proposed by Horst Alzer and Janusz Matkowski concerning a bilinearity property of the Cauchy exponential difference for real-to-real functions. The original conjecture was affirmatively resolved by Tomasz Małolepszy.
Fechner Włodzimierz +2 more
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Fuzzy Hyers-Ulam stability of an additive functional equation
, 2011 In this paper, using the fixed point and direct methods, we prove the Hyers-Ulam stability of the following additive functional equation 0.12fx+y+z2=fx+fy+fz in fuzzy normed spaces.Mathematics Subject Classification (2010): 39B22; 39B52; 39B82; 46S10 ...
H. A. Kenary +5 more
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