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Fejér means in variable exponent Lebesgue spaces on the real axis
Öz
Variable exponent Lebesgue spaces are generalizations of classical Lebesgue spaces and have importance in many branches of Mathematical Analysis. Especially, direct and converse theorems and their improvements are studied by many mathematicians in these spaces. In this article, direct and converse predictions for the rate of convergence of Fejér means of functions belonging to the variable Lebesgue space L^p(⋅) (R) are established by using an appropriate K-functional. In this way, the result of Z. Ditzian on Fejér means in classical Lebesgue spaces L^p (R)(1
Anahtar Kelimeler
Reel eksende değişken üslü Lebesgue uzaylarda Fejér ortalamalar
Öz
Değişken üslü Lebesgue uzayları klasik Lebesgue uzaylarının genellemeleridir ve Matematiksel Analizin birçok dalında öneme sahiptir. Özellikle direkt ve ters teoremler ve bunların geliştirilmesi bu uzaylarda birçok matematikçi tarafından incelenmektedir. Bu makalede, değişken üslü Lebesgue uzayı L^p(⋅) (R)'ye ait fonksiyonların Fejér ortalamalarının yakınsaklık hızına ilişkin doğrudan ve ters tahminler, uygun bir K-fonksiyonu kullanılarak oluşturulmuştur. Bu şekilde, Z. Ditzian'ın klasik Lebesgue uzaylarında L^p (R)(1
Anahtar Kelimeler
Kaynakça
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Ayrıntılar
Birincil Dil
İngilizce
Konular
Yaklaşım Teorisi ve Asimptotik Yöntemler
Bölüm
Araştırma Makalesi
Erken Görünüm Tarihi
6 Ocak 2024
Yayımlanma Tarihi
19 Ocak 2024
Gönderilme Tarihi
7 Eylül 2023
Kabul Tarihi
25 Ekim 2023
Yayımlandığı Sayı
Yıl 2024 Cilt: 26 Sayı: 1
APA
Altıparmak, E., & Güven, A. (2024). Fejér means in variable exponent Lebesgue spaces on the real axis. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 26(1), 188-195. https://doi.org/10.25092/baunfbed.1356259
AMA
1.Altıparmak E, Güven A. Fejér means in variable exponent Lebesgue spaces on the real axis. BAUN Fen. Bil. Enst. Dergisi. 2024;26(1):188-195. doi:10.25092/baunfbed.1356259
Chicago
Altıparmak, Ebru, ve Ali Güven. 2024. “Fejér means in variable exponent Lebesgue spaces on the real axis”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 26 (1): 188-95. https://doi.org/10.25092/baunfbed.1356259.
EndNote
Altıparmak E, Güven A (01 Ocak 2024) Fejér means in variable exponent Lebesgue spaces on the real axis. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 26 1 188–195.
IEEE
[1]E. Altıparmak ve A. Güven, “Fejér means in variable exponent Lebesgue spaces on the real axis”, BAUN Fen. Bil. Enst. Dergisi, c. 26, sy 1, ss. 188–195, Oca. 2024, doi: 10.25092/baunfbed.1356259.
ISNAD
Altıparmak, Ebru - Güven, Ali. “Fejér means in variable exponent Lebesgue spaces on the real axis”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 26/1 (01 Ocak 2024): 188-195. https://doi.org/10.25092/baunfbed.1356259.
JAMA
1.Altıparmak E, Güven A. Fejér means in variable exponent Lebesgue spaces on the real axis. BAUN Fen. Bil. Enst. Dergisi. 2024;26:188–195.
MLA
Altıparmak, Ebru, ve Ali Güven. “Fejér means in variable exponent Lebesgue spaces on the real axis”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 26, sy 1, Ocak 2024, ss. 188-95, doi:10.25092/baunfbed.1356259.
Vancouver
1.Ebru Altıparmak, Ali Güven. Fejér means in variable exponent Lebesgue spaces on the real axis. BAUN Fen. Bil. Enst. Dergisi. 01 Ocak 2024;26(1):188-95. doi:10.25092/baunfbed.1356259