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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 71 Issue: 2

The complementary nabla Bennett-Leindler type inequalities

Zeynep Kayar(VAN YUZUNCU YIL UNIVERSITY)0000-0002-8309-7930
Billur Kaymakçalan(CANKAYA UNIVERSITY)0000-0002-0763-9128
Sayfa
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Yayın Tarihi
2022-06-30
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Some of our results are novel even in the special cases.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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 $0<\zeta< 1$.
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Temel Bulgular & Veri:By these settings, we not only complement existing nabla Bennett-Leindler type inequalities but also generalize them by involving more exponents.
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Sonuç & Katkı:Some of our results are novel even in the special cases.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Time scale calculus · Hardy's inequality · Bennett's inequality

Abstract

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.

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Bu Makaleye Atıf Yap

Kayar, Z., Kaymakçalan, B. (2022). The complementary nabla Bennett-Leindler type inequalities. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 71 Issue: 2. https://doi.org/10.31801/cfsuasmas.930138

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