Lebesgue spaces are considered with Muckenhoupt weights. Fractional order mixed difference operator is investigated to obtain mixed fractional modulus of smoothness in these spaces. Using this modulus of smoothness we give the proof of direct and inverse estimates of angular trigonometric approximation. Also we obtain an equivalence between fractional mixed modulus of smoothness and fractional mixed Kfunctional.
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Primary Language  en 

Subjects  Mathematics 
Journal Section  Mathematics 
Authors 

Supporting Institution  Balikesir University Research Projects 
Project Number  2019/01 
Dates 
Publication Date : October 6, 2020 
Bibtex  @research article { hujms569410,
journal = {Hacettepe Journal of Mathematics and Statistics},
issn = {2651477X},
eissn = {2651477X},
address = {},
publisher = {Hacettepe University},
year = {2020},
volume = {49},
pages = {1594  1610},
doi = {10.15672/hujms.569410},
title = {Fractional order mixed difference operator and its applications in angular approximation},
key = {cite},
author = {Akgün, Ramazan}
} 
APA  Akgün, R . (2020). Fractional order mixed difference operator and its applications in angular approximation . Hacettepe Journal of Mathematics and Statistics , 49 (5) , 15941610 . DOI: 10.15672/hujms.569410 
MLA  Akgün, R . "Fractional order mixed difference operator and its applications in angular approximation" . Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 15941610 <https://dergipark.org.tr/en/pub/hujms/issue/57199/569410> 
Chicago  Akgün, R . "Fractional order mixed difference operator and its applications in angular approximation". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 15941610 
RIS  TY  JOUR T1  Fractional order mixed difference operator and its applications in angular approximation AU  Ramazan Akgün Y1  2020 PY  2020 N1  doi: 10.15672/hujms.569410 DO  10.15672/hujms.569410 T2  Hacettepe Journal of Mathematics and Statistics JF  Journal JO  JOR SP  1594 EP  1610 VL  49 IS  5 SN  2651477X2651477X M3  doi: 10.15672/hujms.569410 UR  https://doi.org/10.15672/hujms.569410 Y2  2019 ER  
EndNote  %0 Hacettepe Journal of Mathematics and Statistics Fractional order mixed difference operator and its applications in angular approximation %A Ramazan Akgün %T Fractional order mixed difference operator and its applications in angular approximation %D 2020 %J Hacettepe Journal of Mathematics and Statistics %P 2651477X2651477X %V 49 %N 5 %R doi: 10.15672/hujms.569410 %U 10.15672/hujms.569410 
ISNAD  Akgün, Ramazan . "Fractional order mixed difference operator and its applications in angular approximation". Hacettepe Journal of Mathematics and Statistics 49 / 5 (October 2020): 15941610 . https://doi.org/10.15672/hujms.569410 
AMA  Akgün R . Fractional order mixed difference operator and its applications in angular approximation. Hacettepe Journal of Mathematics and Statistics. 2020; 49(5): 15941610. 
Vancouver  Akgün R . Fractional order mixed difference operator and its applications in angular approximation. Hacettepe Journal of Mathematics and Statistics. 2020; 49(5): 15941610. 