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## Linear positive operators constructed by using Beta-type bases

#### Octavian AGRATINI [1]

Starting from a discrete linear approximation process that has the ability to turn polynomials into polynomials of the same degree, we introduce an integral generalization by using Beta-type bases. Some properties of this new sequence of operators are investigated in unweighted and weighted spaces of functions defined on unbounded interval. In our construction particular cases are outlined.
Korovkin theorem, modulus of smoothness, weighted space, rate of convergence
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Primary Language en Mathematics Mathematics Orcid: 0000-0002-2406-4274Author: Octavian AGRATINI (Primary Author)Institution: BABEŞ-BOLYAİ UNIVERSITYCountry: Romania Publication Date : June 2, 2020
 Bibtex @research article { hujms549015, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2020}, volume = {49}, pages = {1030 - 1038}, doi = {10.15672/hujms.549015}, title = {Linear positive operators constructed by using Beta-type bases}, key = {cite}, author = {Agratını, Octavian} } APA Agratını, O . (2020). Linear positive operators constructed by using Beta-type bases . Hacettepe Journal of Mathematics and Statistics , 49 (3) , 1030-1038 . DOI: 10.15672/hujms.549015 MLA Agratını, O . "Linear positive operators constructed by using Beta-type bases" . Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 1030-1038 Chicago Agratını, O . "Linear positive operators constructed by using Beta-type bases". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 1030-1038 RIS TY - JOUR T1 - Linear positive operators constructed by using Beta-type bases AU - Octavian Agratını Y1 - 2020 PY - 2020 N1 - doi: 10.15672/hujms.549015 DO - 10.15672/hujms.549015 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1030 EP - 1038 VL - 49 IS - 3 SN - 2651-477X-2651-477X M3 - doi: 10.15672/hujms.549015 UR - https://doi.org/10.15672/hujms.549015 Y2 - 2019 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Linear positive operators constructed by using Beta-type bases %A Octavian Agratını %T Linear positive operators constructed by using Beta-type bases %D 2020 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 49 %N 3 %R doi: 10.15672/hujms.549015 %U 10.15672/hujms.549015 ISNAD Agratını, Octavian . "Linear positive operators constructed by using Beta-type bases". Hacettepe Journal of Mathematics and Statistics 49 / 3 (June 2020): 1030-1038 . https://doi.org/10.15672/hujms.549015 AMA Agratını O . Linear positive operators constructed by using Beta-type bases. Hacettepe Journal of Mathematics and Statistics. 2020; 49(3): 1030-1038. Vancouver Agratını O . Linear positive operators constructed by using Beta-type bases. Hacettepe Journal of Mathematics and Statistics. 2020; 49(3): 1030-1038.

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