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## Fractional order mixed difference operator and its applications in angular approximation

#### Ramazan AKGÜN [1]

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 K-functional.

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Difference Operator, Lebesgue spaces, Muckenhoupt weights, Angular Trigonometric Approximation, mixed modulus of smoothness
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Primary Language en Mathematics Mathematics Orcid: 0000-0001-6247-8518Author: Ramazan AKGÜN (Primary Author)Institution: BALIKESIR UNIVERSITYCountry: Turkey Balikesir University Research Projects 2019/01 Publication Date : October 6, 2020
 Bibtex @research article { hujms569410, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, 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) , 1594-1610 . 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 ): 1594-1610 Chicago Akgün, R . "Fractional order mixed difference operator and its applications in angular approximation". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 1594-1610 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 - 2651-477X-2651-477X 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 2651-477X-2651-477X %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): 1594-1610 . 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): 1594-1610. Vancouver Akgün R . Fractional order mixed difference operator and its applications in angular approximation. Hacettepe Journal of Mathematics and Statistics. 2020; 49(5): 1594-1610.

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