MONOTONICITY RESULTS AND ASSOCIATED INEQUALITIES FOR K-GAMMA FUNCTION
In this work, we find-analogue of Gautschi inequality and obtain some monotonicity results for-gamma function. By the aid of these, we also get some more inequalities.This study is inspired bythe work of Neumann in 2011. In the study, weestablish some double inequalities involving the ratio??(?+?)??(?+?), where ??is the ?-analogue of Euler’s gamma function. Some monotonicity results involvingk-gamma functionare found. By the aid of these results, some inequalitiessuchas[Γ?(?+?)]??≤∑[Γ?(?+??)]?????=1for ??>0, 1≤?≤?, where ?=?1+?2+⋯+??are valid.
Keywords:
Gamma function k-gamma function, monotonicity,
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- ISSN: 2667-4211
- Yayın Aralığı: Yılda 4 Sayı
- Başlangıç: 2000
- Yayıncı: Eskişehir Teknik Üniversitesi
Sayıdaki Diğer Makaleler
Gamze KARANFİL, Selmin Ener RUŞEN, Mehmet Ali TOPÇU, Seyit Alperen CELTEK, Aydın RÜŞEN
Ersin GÜLER, Kamil Bekir AFACAN
Oğuzhan KARAHAN, Banu ATAŞLAR AYYILDIZ
Reyhan AYNA, Özge ELMASTAŞ GÜLTEKİN
Ayşe Tuğba KÖKTÜRK, Bağdagül KARAAĞAÇ, Haluk KONYALI