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## Averaged modulus of smoothness and two-sided monotone approximation in Orlicz spaces

#### Hüseyin Koç [1] , Ramazan Akgün [2]

The paper deals with basic properties of averaged modulus of smoothness in Orlicz spaces $L^*_\varphi$. Some direct and inverse two-sided approximation problems in $L^*_\varphi$ are proved. In the last section, some inequalities concerning monotone two sided approximation by trigonometric polynomials in $L^*_\varphi$ are considered.
Orlicz spaces, Averaged modulus of smoothness
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Birincil Dil en Matematik Matematik Yazar: Hüseyin Koç (Sorumlu Yazar)Kurum: MINISTRY OF NATIONAL EDUCATION, TURKEYÜlke: Turkey Yazar: Ramazan AkgünKurum: Balikesir University, Faculty of Arts and and Sciences, Department of MathematicsÜlke: Turkey Yayımlanma Tarihi : 16 Ekim 2018
 Bibtex @araştırma makalesi { hujms471028, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe Üniversitesi}, year = {2018}, volume = {47}, pages = {1108 - 1119}, doi = {}, title = {Averaged modulus of smoothness and two-sided monotone approximation in Orlicz spaces}, key = {cite}, author = {Koç, Hüseyin and Akgün, Ramazan} } APA Koç, H , Akgün, R . (2018). Averaged modulus of smoothness and two-sided monotone approximation in Orlicz spaces. Hacettepe Journal of Mathematics and Statistics , 47 (5) , 1108-1119 . Retrieved from https://dergipark.org.tr/tr/pub/hujms/issue/39860/471028 MLA Koç, H , Akgün, R . "Averaged modulus of smoothness and two-sided monotone approximation in Orlicz spaces". Hacettepe Journal of Mathematics and Statistics 47 (2018 ): 1108-1119 Chicago Koç, H , Akgün, R . "Averaged modulus of smoothness and two-sided monotone approximation in Orlicz spaces". Hacettepe Journal of Mathematics and Statistics 47 (2018 ): 1108-1119 RIS TY - JOUR T1 - Averaged modulus of smoothness and two-sided monotone approximation in Orlicz spaces AU - Hüseyin Koç , Ramazan Akgün Y1 - 2018 PY - 2018 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1108 EP - 1119 VL - 47 IS - 5 SN - 2651-477X-2651-477X M3 - UR - Y2 - 2017 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics Averaged modulus of smoothness and two-sided monotone approximation in Orlicz spaces %A Hüseyin Koç , Ramazan Akgün %T Averaged modulus of smoothness and two-sided monotone approximation in Orlicz spaces %D 2018 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 47 %N 5 %R %U ISNAD Koç, Hüseyin , Akgün, Ramazan . "Averaged modulus of smoothness and two-sided monotone approximation in Orlicz spaces". Hacettepe Journal of Mathematics and Statistics 47 / 5 (Ekim 2018): 1108-1119 . AMA Koç H , Akgün R . Averaged modulus of smoothness and two-sided monotone approximation in Orlicz spaces. Hacettepe Journal of Mathematics and Statistics. 2018; 47(5): 1108-1119. Vancouver Koç H , Akgün R . Averaged modulus of smoothness and two-sided monotone approximation in Orlicz spaces. Hacettepe Journal of Mathematics and Statistics. 2018; 47(5): 1119-1108.