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INEQUALITIES INVOLVING DERIVATIVES OF THE $(p; k)$-GAMMA FUNCTION

Yıl 2017, Cilt: 5 Sayı: 1, 232 - 239, 03.04.2017

Öz

In this paper, some inequalities involving the m-th derivative of the $(p; k)$-Gamma function are established. Among other analytical tech- niques, the procedure makes use of the classical Holder's, Minkowski's and Chebyshev's integral inequalities.

Kaynakça

  • [1] R. P. Agarwal, N. Elezovic and J. Pecaric, On Some Inequalities for Beta and Gamma Functions Via Some Classical Inequalities, Journal of Inequalities and Applications 2005:5 (2005), 593-613.
  • [2] H. Alzer and G. Felder, A Turan-type inequality for the gamma function, Journal of Mathematical Analysis and Applications, 350(2009), 276-282.
  • [3] S. S. Dragomir, R. P. Agarwal and N. S. Barnett, Inequalities for Beta and Gamma Functions via Some Classical and New Integral Inequalities, Journal of Inequalities and Applications, 5 (2000), 103-165.
  • [4] C. Mortici, Turan type inequalities for the Gamma and Polygamma functions, Acta Univer sitatis Apulensis, 23 (2010), 117-121.
  • [5] K. Nantomah, E. Prempeh and S. B. Twum, On a (p; k)-analogue of the Gamma function and some associated Inequalities, Moroccan Journal of Pure and Applied Analysis, 2(2)(2016), 79-90.
  • [6] E. Neuman, Inequalities involving a logarithmically convex function and their applications to special functions, J. Inequal. Pure Appl. Math., 7(1)(2006) Art. 16.
  • [7] S. Taf, B. Nefzi and L. Riahi, New Generalizations of Some Inequalities for k-Special and q; k-Special Functions, Le Matematiche, LXX (2015), Fasc. I, 103-113.
Yıl 2017, Cilt: 5 Sayı: 1, 232 - 239, 03.04.2017

Öz

Kaynakça

  • [1] R. P. Agarwal, N. Elezovic and J. Pecaric, On Some Inequalities for Beta and Gamma Functions Via Some Classical Inequalities, Journal of Inequalities and Applications 2005:5 (2005), 593-613.
  • [2] H. Alzer and G. Felder, A Turan-type inequality for the gamma function, Journal of Mathematical Analysis and Applications, 350(2009), 276-282.
  • [3] S. S. Dragomir, R. P. Agarwal and N. S. Barnett, Inequalities for Beta and Gamma Functions via Some Classical and New Integral Inequalities, Journal of Inequalities and Applications, 5 (2000), 103-165.
  • [4] C. Mortici, Turan type inequalities for the Gamma and Polygamma functions, Acta Univer sitatis Apulensis, 23 (2010), 117-121.
  • [5] K. Nantomah, E. Prempeh and S. B. Twum, On a (p; k)-analogue of the Gamma function and some associated Inequalities, Moroccan Journal of Pure and Applied Analysis, 2(2)(2016), 79-90.
  • [6] E. Neuman, Inequalities involving a logarithmically convex function and their applications to special functions, J. Inequal. Pure Appl. Math., 7(1)(2006) Art. 16.
  • [7] S. Taf, B. Nefzi and L. Riahi, New Generalizations of Some Inequalities for k-Special and q; k-Special Functions, Le Matematiche, LXX (2015), Fasc. I, 103-113.
Toplam 7 adet kaynakça vardır.

Ayrıntılar

Konular Mühendislik
Bölüm Articles
Yazarlar

K. Nantomah Bu kişi benim

E. Prempeh Bu kişi benim

S. B. Twum Bu kişi benim

Yayımlanma Tarihi 3 Nisan 2017
Gönderilme Tarihi 3 Nisan 2017
Kabul Tarihi 24 Mart 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 5 Sayı: 1

Kaynak Göster

APA Nantomah, K., Prempeh, E., & Twum, S. B. (2017). INEQUALITIES INVOLVING DERIVATIVES OF THE $(p; k)$-GAMMA FUNCTION. Konuralp Journal of Mathematics, 5(1), 232-239.
AMA Nantomah K, Prempeh E, Twum SB. INEQUALITIES INVOLVING DERIVATIVES OF THE $(p; k)$-GAMMA FUNCTION. Konuralp J. Math. Nisan 2017;5(1):232-239.
Chicago Nantomah, K., E. Prempeh, ve S. B. Twum. “INEQUALITIES INVOLVING DERIVATIVES OF THE $(p; K)$-GAMMA FUNCTION”. Konuralp Journal of Mathematics 5, sy. 1 (Nisan 2017): 232-39.
EndNote Nantomah K, Prempeh E, Twum SB (01 Nisan 2017) INEQUALITIES INVOLVING DERIVATIVES OF THE $(p; k)$-GAMMA FUNCTION. Konuralp Journal of Mathematics 5 1 232–239.
IEEE K. Nantomah, E. Prempeh, ve S. B. Twum, “INEQUALITIES INVOLVING DERIVATIVES OF THE $(p; k)$-GAMMA FUNCTION”, Konuralp J. Math., c. 5, sy. 1, ss. 232–239, 2017.
ISNAD Nantomah, K. vd. “INEQUALITIES INVOLVING DERIVATIVES OF THE $(p; K)$-GAMMA FUNCTION”. Konuralp Journal of Mathematics 5/1 (Nisan 2017), 232-239.
JAMA Nantomah K, Prempeh E, Twum SB. INEQUALITIES INVOLVING DERIVATIVES OF THE $(p; k)$-GAMMA FUNCTION. Konuralp J. Math. 2017;5:232–239.
MLA Nantomah, K. vd. “INEQUALITIES INVOLVING DERIVATIVES OF THE $(p; K)$-GAMMA FUNCTION”. Konuralp Journal of Mathematics, c. 5, sy. 1, 2017, ss. 232-9.
Vancouver Nantomah K, Prempeh E, Twum SB. INEQUALITIES INVOLVING DERIVATIVES OF THE $(p; k)$-GAMMA FUNCTION. Konuralp J. Math. 2017;5(1):232-9.
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