Mixed Type Of Additive And Quintic Functional Equations

Abasalt Bodaghi; Pasupathi Narasimman; Krishnan Ravi; Behrouz Shojaee

Annales Mathematicae Silesianae (2015)

  • Volume: 29, Issue: 1, page 35-50
  • ISSN: 0860-2107

Abstract

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In this paper, we investigate the general solution and Hyers–Ulam–Rassias stability of a new mixed type of additive and quintic functional equation of the form [...] f(3x+y)−5f(2x+y)+f(2x−y)+10f(x+y)−5f(x−y)=10f(y)+4f(2x)−8f(x) f 3 x + y - 5 f 2 x + y + f 2 x - y + 10 f x + y - 5 f x - y = 10 f y + 4 f 2 x - 8 f x in the set of real numbers.

How to cite

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Abasalt Bodaghi, et al. "Mixed Type Of Additive And Quintic Functional Equations." Annales Mathematicae Silesianae 29.1 (2015): 35-50. <http://eudml.org/doc/276950>.

@article{AbasaltBodaghi2015,
abstract = {In this paper, we investigate the general solution and Hyers–Ulam–Rassias stability of a new mixed type of additive and quintic functional equation of the form [...] f(3x+y)−5f(2x+y)+f(2x−y)+10f(x+y)−5f(x−y)=10f(y)+4f(2x)−8f(x) \[f\left( \{3x + y\} \right) - 5f\left( \{2x + y\} \right) + f\left( \{2x - y\} \right) + 10f\left( \{x + y\} \right) - 5f\left( \{x - y\} \right) = 10f\left( y \right) + 4f\left( \{2x\} \right) - 8f\left( x \right)\] in the set of real numbers.},
author = {Abasalt Bodaghi, Pasupathi Narasimman, Krishnan Ravi, Behrouz Shojaee},
journal = {Annales Mathematicae Silesianae},
keywords = {additive functional equation; Hyers–Ulam stability; quintic functional equation},
language = {eng},
number = {1},
pages = {35-50},
title = {Mixed Type Of Additive And Quintic Functional Equations},
url = {http://eudml.org/doc/276950},
volume = {29},
year = {2015},
}

TY - JOUR
AU - Abasalt Bodaghi
AU - Pasupathi Narasimman
AU - Krishnan Ravi
AU - Behrouz Shojaee
TI - Mixed Type Of Additive And Quintic Functional Equations
JO - Annales Mathematicae Silesianae
PY - 2015
VL - 29
IS - 1
SP - 35
EP - 50
AB - In this paper, we investigate the general solution and Hyers–Ulam–Rassias stability of a new mixed type of additive and quintic functional equation of the form [...] f(3x+y)−5f(2x+y)+f(2x−y)+10f(x+y)−5f(x−y)=10f(y)+4f(2x)−8f(x) \[f\left( {3x + y} \right) - 5f\left( {2x + y} \right) + f\left( {2x - y} \right) + 10f\left( {x + y} \right) - 5f\left( {x - y} \right) = 10f\left( y \right) + 4f\left( {2x} \right) - 8f\left( x \right)\] in the set of real numbers.
LA - eng
KW - additive functional equation; Hyers–Ulam stability; quintic functional equation
UR - http://eudml.org/doc/276950
ER -

References

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  13. [13] Rassias J.M., On approximation of approximately linear mappings by linear mapping, J. Funct. Anal. 46 (1982), no. 1, 126–130.[Crossref] Zbl0482.47033
  14. [14] Rassias J.M., On approximation of approximately linear mappings by linear mappings, Bull. Sci. Math. (2) 108 (1984), no. 4, 445–446. Zbl0599.47106
  15. [15] Rassias Th.M., On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297–300.[Crossref] 
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