2017
8
1
0
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Quadratic $alpha$functional equations
2
2
In this paper, we solve the quadratic $alpha$functional equations $2f(x) + 2f(y) = f(x + y) + alpha^{2}f(alpha(xy)); (0.1)$ where $alpha$ is a fixed nonArchimedean number with $alpha^{2}neq 3$. Using the fixed point method and the direct method, we prove the HyersUlam stability of the quadratic $alpha$functional equation (0.1) in nonArchimedean Banach spaces.
1

1
9


Choonkil
Park
Research nstitute for natural sciences,
Hanyang University Seoul 04763,
Korea
Research nstitute for natural sciences,
Hanyang
Iran
baak@hanyang.ac.kr


Sang Og
Kim
Department of Mathematics
Hallym University
Chuncheon 24252
Korea
Department of Mathematics
Hallym University
Chun
Iran
sokim@hallym.ac.kr
HyersUlam stability
nonArchimedean normed space
direct method
fixed point
quadratic $alpha$functional equation
The operators over the GIFS
2
2
In this paper, newly defined level operators and modallike operators over extensional generalized intuitionistic fuzzy sets (GIFSB) are proposed. Some of the basic properties of the new operators are discussed.
1

11
21


Ezzatallah
Baloui Jamkhaneh
Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
Department of Statistics, Qaemshahr Branch,
Iran
e_baloui2008@yahoo.com
Generalized intuitionistic fuzzy sets
intuitionistic fuzzy sets
modallike operators
level operators
On genuine Lupac{s}Beta operators and modulus of continuity
2
2
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 DitzianTotik modulus of continuity. Finally we mentionÂ results on the weighted modulus of continuity for the genuine operators.
1

23
32


Vijay
Gupta
Netaji Subhas Institute of Technology
New Delhi, India
Netaji Subhas Institute of Technology
New
Iran
vijaygupta2001@hotmail.com


Th.M.
Rassias
Department of Mathematics, National Technical University of Athens, Zofrafou Campus, 15780 Athens, Greece
Department of Mathematics, National Technical
Iran
trassias@math.ntua.gr


Ekta
Pandey
Department of Mathematics, IMS Engineering College Ghaziabad201009, (UP), India
Department of Mathematics, IMS Engineering
Iran
ektapande@gmail.com
factorial polynomials
Beta basis function
direct estimates
weighted modulus of continuity
$K$functionals
Stability for certain subclasses of harmonic univalent functions
2
2
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.
1

33
45


Ali
Ebadian
Department of Mathematics, Payame Noor University, P.O. BOX 193953697, Tehran, Iran
Department of Mathematics, Payame Noor University,
Iran
ebadian.ali@gmail.com


Saman
Azizi
Department of Mathematics, Payame Noor University, P.O. BOX 193953697, Tehran, Iran
Department of Mathematics, Payame Noor University,
Iran
azizi86@yahoo.com


Shahram
Najafzadeh
Department of Mathematics, Payame Noor University, P.O. BOX 193953697, Tehran, Iran
Department of Mathematics, Payame Noor University,
Iran
najafzadeh1234@yahoo.ie
Stability of the convolution
Integral convolution
Harmonic univalent
starlike and convex functions