2017-05-24T15:47:57Z
http://ijnaa.semnan.ac.ir/?_action=export&rf=summon&issue=318
International Journal of Nonlinear Analysis and Applications
IJNAA
2017
8
1
Quadratic $alpha$-functional equations
Choonkil
Park
Sang Og
Kim
In this paper, we solve the quadratic $alpha$-functional equations $2f(x) + 2f(y) = f(x + y) + alpha^{-2}f(alpha(x-y)); (0.1)$ where $alpha$ is a fixed non-Archimedean number with $alpha^{-2}neq 3$. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the quadratic $alpha$-functional equation (0.1) in non-Archimedean Banach spaces.
Hyers-Ulam stability
non-Archimedean normed space
direct method
fixed point
quadratic $alpha$-functional equation
2017
04
01
1
9
http://ijnaa.semnan.ac.ir/article_2351_0cc225d42285c772edd3782614976e89.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2017
8
1
The operators over the GIFS
Ezzatallah
Baloui Jamkhaneh
In this paper, newly defined level operators and modal-like operators over extensional generalized intuitionistic fuzzy sets (GIFSB) are proposed. Some of the basic properties of the new operators are discussed.
Generalized intuitionistic fuzzy sets
intuitionistic fuzzy sets
modal-like operators
level operators
2017
04
01
11
21
http://ijnaa.semnan.ac.ir/article_2402_aa76bd23f45666bcc4956b21e9d4975a.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2017
8
1
On genuine Lupac{s}-Beta operators and modulus of continuity
Vijay
Gupta
Th.M.
Rassias
Ekta
Pandey
In the present article we discuss approximation properties of genuine Lupac{s}-Beta operators ofÂ integral type. We establish quantitative asymptotic formulae and a direct estimate in terms of Ditzian-Totik modulus of continuity. Finally we mentionÂ results on the weighted modulus of continuity for the genuine operators.
factorial polynomials
Beta basis function
direct estimates
weighted modulus of continuity
$K$-functionals
2017
04
30
23
32
http://ijnaa.semnan.ac.ir/article_2307_251220725692ce599b98103f8f8d9cb7.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2017
8
1
Stability for certain subclasses of harmonic univalent functions
Ali
Ebadian
Saman
Azizi
Shahram
Najafzadeh
In this paper, the problem of stability for certain subclasses of harmonic univalent functions is investigated. Some lower bounds for the radius of stability of these subclasses are found.
Stability of the convolution
Integral convolution
Harmonic univalent
starlike and convex functions
2017
05
05
33
45
http://ijnaa.semnan.ac.ir/article_2405_54526c108d6aa80a97f3ae45556c5eb9.pdf