The complementary nabla Bennett-Leindler type inequalities

Zeynep KAYAR, (Van Yüzüncü Yıl Üniversitesi, Matematik Bölümü, Van, Türkiye)
Billur KAYMAKÇALAN (Çankaya Üniversitesi, Matematik Bölümü, Ankara, Türkiye)
Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
3 0
Yıl: 2022 Cilt: 71 Sayı: 2 Sayfa Aralığı: 349 - 376 Metin Dili: İngilizce DOI: 10.31801/cfsuasmas.930138 İndeks Tarihi: 05-09-2022

The complementary nabla Bennett-Leindler type inequalities

Öz:
We aim to find the complements of the Bennett-Leindler type inequalities in nabla time scale calculus by changing the exponent from $0<zeta< 1$ to $zeta>1.$ Different from the literature, the directions of the new inequalities, where $zeta>1,$ are the same as that of the previous nabla Bennett-Leindler type inequalities obtained for $0<zeta< 1$. By these settings, we not only complement existing nabla Bennett-Leindler type inequalities but also generalize them by involving more exponents. The dual results for the delta approach and the special cases for the discrete and continuous ones are obtained as well. Some of our results are novel even in the special cases.
Anahtar Kelime: Time scale calculus Hardy's inequality Bennett's inequality Leindler's inequality

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA Kayar Z, Kaymakçalan B (2022). The complementary nabla Bennett-Leindler type inequalities. , 349 - 376. 10.31801/cfsuasmas.930138
Chicago Kayar Zeynep,Kaymakçalan Billur The complementary nabla Bennett-Leindler type inequalities. (2022): 349 - 376. 10.31801/cfsuasmas.930138
MLA Kayar Zeynep,Kaymakçalan Billur The complementary nabla Bennett-Leindler type inequalities. , 2022, ss.349 - 376. 10.31801/cfsuasmas.930138
AMA Kayar Z,Kaymakçalan B The complementary nabla Bennett-Leindler type inequalities. . 2022; 349 - 376. 10.31801/cfsuasmas.930138
Vancouver Kayar Z,Kaymakçalan B The complementary nabla Bennett-Leindler type inequalities. . 2022; 349 - 376. 10.31801/cfsuasmas.930138
IEEE Kayar Z,Kaymakçalan B "The complementary nabla Bennett-Leindler type inequalities." , ss.349 - 376, 2022. 10.31801/cfsuasmas.930138
ISNAD Kayar, Zeynep - Kaymakçalan, Billur. "The complementary nabla Bennett-Leindler type inequalities". (2022), 349-376. https://doi.org/10.31801/cfsuasmas.930138
APA Kayar Z, Kaymakçalan B (2022). The complementary nabla Bennett-Leindler type inequalities. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 71(2), 349 - 376. 10.31801/cfsuasmas.930138
Chicago Kayar Zeynep,Kaymakçalan Billur The complementary nabla Bennett-Leindler type inequalities. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 71, no.2 (2022): 349 - 376. 10.31801/cfsuasmas.930138
MLA Kayar Zeynep,Kaymakçalan Billur The complementary nabla Bennett-Leindler type inequalities. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.71, no.2, 2022, ss.349 - 376. 10.31801/cfsuasmas.930138
AMA Kayar Z,Kaymakçalan B The complementary nabla Bennett-Leindler type inequalities. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2022; 71(2): 349 - 376. 10.31801/cfsuasmas.930138
Vancouver Kayar Z,Kaymakçalan B The complementary nabla Bennett-Leindler type inequalities. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2022; 71(2): 349 - 376. 10.31801/cfsuasmas.930138
IEEE Kayar Z,Kaymakçalan B "The complementary nabla Bennett-Leindler type inequalities." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 71, ss.349 - 376, 2022. 10.31801/cfsuasmas.930138
ISNAD Kayar, Zeynep - Kaymakçalan, Billur. "The complementary nabla Bennett-Leindler type inequalities". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 71/2 (2022), 349-376. https://doi.org/10.31801/cfsuasmas.930138
Sayfa Oluşturulma Tarihi
18-04-2024 4:23

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