THE COMPLEMENTARY NABLA BENNETT-LEINDLER TYPE INEQUALITIES

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Atıf İçin Kopyala

Kayar Z., KAYMAKCALAN B.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.71, sa.2, ss.349-376, 2022 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 71 Sayı: 2
• Basım Tarihi: 2022
• Doi Numarası: 10.31801/cfsuasmas.930138
• Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.349-376
• Anahtar Kelimeler: Time scale calculus, Hardy's inequality, Bennett's inequality, Leindler's inequality, COPSON TYPE INEQUALITIES, TIME SCALES, HARDY
• Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

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.