Results 21 to 30 of about 70 (62)
Hyers- Ulam Rassias Stability of Exponential Primitive Mapping [PDF]
, 2013 The aim of this paper is to prove the stability of Exponential Primitive Mapping in sprit of Hyers- Ulam- Rassias. Keywords . Hyers- Ulam Rassias Stability, Exponential Primitive Mapping. AMS Subject Classification (1991).
Shrivastava, Kavita
core +1 more source
A functional equation characterizing cubic polynomials and its stability
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 5, Page 301-307, 2001., 2001 We study the generalized Hyers‐Ulam stability of the functional equation f[x1, x2, x3] = h(x1 + x2 + x3).
Soon-Mo Jung, Prasanna K. Sahoo
wiley +1 more source
Hyers- Ulam Rassias Stability of multiplicative Cauchy equation [PDF]
, 2015 The aim of this paper is to prove the stability of multiplicative equation in sprit of Hyers- Ulam- Rassias. Keywords . Hyers- Ulam Rassias Stability, multiplicative equation AMS Subject Classification (1991).
Shrivastava, Kavita
core +1 more source
On solutions of the Gołąb‐Schinzel equation
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 9, Page 541-546, 2001., 2001 We determine the solutions f : (0, ∞) → [0, ∞) of the functional equation f(x + f(x)y) = f(x)f(y) that are continuous at a point a > 0 such that f(a) > 0. This is a partial solution of a problem raised by Brzdęk.
Anna Mureńko
wiley +1 more source
On a functional equation related to a generalization of Flett′s mean value theorem
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 2, Page 103-107, 2000., 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
wiley +1 more source
On the stability of generalized gamma functional equation
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 8, Page 513-520, 2000., 2000 We obtain the Hyers‐Ulam stability and modified Hyers‐Ulam stability for the equations of the form g(x + p) = φ(x)g(x) in the following settings: |g(x + p) − φ(x)g(x) | ≤ δ, | g(x + p) − φ(x)g(x) | ≤ ϕ(x), | (g(x + p)/φ(x)g(x)) − 1 | ≤ ψ(x). As a consequence we obtain the stability theorems for the gamma functional equation.
Gwang Hui Kim
wiley +1 more source
Stability of generalized additive Cauchy equations
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 11, Page 721-727, 2000., 2000 A familiar functional equation f(ax + b) = cf(x) will be solved in the class of functions f : ℝ → ℝ. Applying this result we will investigate the Hyers‐Ulam‐Rassias stability problem of the generalized additive Cauchy equation f(a1x1+⋯+amxm+x0)=∑i=1mbif(ai1x1+⋯+aimxm) in connection with the question of Rassias and Tabor.
Soon-Mo Jung, Ki-Suk Lee
wiley +1 more source
On generalizations of the Pompeiu functional equation
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 1, Page 117-124, 1998., 1997 In this paper, we determine the general solution of the functional equations and which are generalizations of a functional equation studied by Pompeiu. We present a method which is simple and direct to determine the general solutions of the above equations without any regularity assumptions.
Pl. Kannappan, P. K. Sahoo
wiley +1 more source
On Limit Laws for Central Order Statistics under Power Normalization [PDF]
, 2015 Smirnov (1949) derived four limit classes of distributions for linearly normalized central order statistics. In this paper we investigate the possible limit distributions of the k-th upper order statistics with central rank using regular power norming ...
Pancheva, E. I. +1 more
core +1 more source
Quasi‐homogeneous associative functions
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 351-357, 1998., 1997 A triangular norm is a special kind of associative function on the closed unit interval [0, 1]. Triangular norms (or t‐norms) were introduced in the context of probabilistic metric space theory, and they have found applications also in other areas, such as fuzzy set theory.
Bruce R. Ebanks
wiley +1 more source