Taylor theory associated with Hahn difference operator

被引:11
作者
Oraby, Karima [1 ]
Hamza, A. E. [2 ,3 ]
机构
[1] Suez univ, Dept Math & Comp Sci, Suez, Egypt
[2] Cairo Univ, Dept Math, Fac Sci, Giza, Egypt
[3] Univ Jeddah, Fac Sci, Dept Math, Jeddah, Saudi Arabia
关键词
Taylor series; Hahn difference operator D-q; D-omega;
D O I
10.1186/s13660-020-02392-y
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we establish Taylor theory based on Hahn's difference operator Dq,omega which is defined by Dq,omega f(t)=f(qt+omega)-f(t)t(q-1)+omega, t not equal omega 1-q, where q is an element of(0,1) and omega is a positive number.
引用
收藏
页数:19
相关论文
共 22 条
[1]  
Aldwoah KA, 2009, THESIS
[2]   q-Taylor and interpolation series for Jackson q-difference operators [J].
Annaby, M. H. ;
Mansour, Z. S. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 344 (01) :472-483
[3]   Hahn Difference Operator and Associated Jackson-Norlund Integrals [J].
Annaby, M. H. ;
Hamza, A. E. ;
Aldwoah, K. A. .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2012, 154 (01) :133-153
[4]  
[Anonymous], 2004, ENCY MATH ITS APPL
[5]   On generalizations of sum formulas of the Euler Maclaurin type [J].
Bird, MT .
AMERICAN JOURNAL OF MATHEMATICS, 1936, 58 :487-503
[6]   General theory of linear difference equations [J].
Birkhoff, GD .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1911, 12 :243-284
[7]   On fractional Hahn calculus [J].
Brikshavana, Tanapat ;
Sitthiwirattham, Thanin .
ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[8]  
Cigler J., 1982, ELEMENTARE Q IDENTIT, P23
[9]  
EULER L., 1748, Introductio in analysin infinitorum
[10]  
Hahn W., 1949, Math. Nachr, V2, P4, DOI [10.1002/mana.19490020103, DOI 10.1002/MANA.19490020103]