Araştırma Makalesi
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Bazı Feng Qi tipli (p,q)-integral eşitsizlikleri

Yıl 2021, Cilt: 23 Sayı: 1, 366 - 376, 29.01.2021
https://doi.org/10.25092/baunfbed.854839

Öz

Bu çalışmada, [1] nolu kaynakta ortaya atılan probleme ilişkin literatürde daha önce yapılan Feng Qi tipli integral eşitsizlikleri göz önüne alınarak bu tipteki integral eşitsizliklerinin (p,q)-analogları benzer metotlar kullanılarak elde edilmiştir.

Kaynakça

  • Qi, F., Several integral inequalities, Journal of Inequalities in Pure and Applied Mathematics, 1 (2), Art. 19, (2000).
  • Akkouchi, M., On an integral inequality of Feng Qi, Divulgaciones Matemáticas, 13(1), 11-19, (2005).
  • Bougoffa, L., Notes on Qi type inequalities, Journal of Inequalities in Pure and Applied Mathematics, 4 (4), Art. 77, (2003).
  • Chen, Y., Kimball, J., Note on an open problem of Feng Qi, Journal of Inequalities in Pure and Applied Mathematics, 7(1), (2006).
  • Csiszár, V., Móri, T. F., The convexity method of proving moment-type inequalities, Statistics & Probability Letters, 66(3), 303-313, (2004).
  • Qi, F., Li, A. J., Zhao, W. Z., Niu, D. W., Cao, J. Extensions of several integral inequalities, Journal Inequalities in Pure and Applied Mathematics, 7(3), 1-6, (2006).
  • Pečarić, J., Pejković, T., Note on Feng Qi’s integral inequality, Journal Inequalities in Pure and Applied Mathematics, 5(3), Art. 51, (2004).
  • Pogány, T. K., On an open problem of F. Qi, Journal of Inequalities in Pure and Applied Mathematics, 3 (4), Art. 54, (2002).
  • Towghi, N., Notes on integral inequalities, Research Group in Mathematical Inequalities and Applications, 4(2), 277-278, (2001).
  • Yıldırım, M. E., Akkurt, A., Yıldırım, H., Generalized Qi's Integral Inequality, Cumhuriyet Üniversitesi Fen-Edebiyat Fakültesi Fen Bilimleri Dergisi, 37(1), 12-19, (2016).
  • Yu, K. W., Qi, F., A short note on an integral inequality, Research Group in Mathematical Inequalities and Applications, 4(1), (2001).
  • Brahim, K., Bettaibi, N., Sellemi, M., On some Feng Qi type q-integral inequalities, Journal of Inequalities in Pure and Applied Mathematics, 9(2), 1-7, (2008).
  • Miao, Y., Qi F., Several q-integral inequalities, Journal of Mathematical Inequalities, 3(1), 115-121, (2009).
  • Brodimas, G., Mignani, R.P., Jannussis, A., Two-parameter quantum groups, Universitadi Roma Preprint, Nr. 820 (1991).
  • Chakrabarti, R., Jagannathan, R., A (p,q)-oscillator realization of two-parameter quantum algebras, Journal of Physics A: Mathematical and General, 24(11), (1991).
  • Sadjang, P. N., On the Fundamental Theorem of (p,q)-Calculus and Some (p,q)-Taylor Formulas, Results Mathematics, 73 (39), (2018).

Some Feng Qi type (p,q)-integral inequalities

Yıl 2021, Cilt: 23 Sayı: 1, 366 - 376, 29.01.2021
https://doi.org/10.25092/baunfbed.854839

Öz

In this paper, we obtain some Feng Qi type (p,q)-integral inequalities which is considered in [1], by using closely methods from previous papers about Feng Qi type integral inequalities.

Kaynakça

  • Qi, F., Several integral inequalities, Journal of Inequalities in Pure and Applied Mathematics, 1 (2), Art. 19, (2000).
  • Akkouchi, M., On an integral inequality of Feng Qi, Divulgaciones Matemáticas, 13(1), 11-19, (2005).
  • Bougoffa, L., Notes on Qi type inequalities, Journal of Inequalities in Pure and Applied Mathematics, 4 (4), Art. 77, (2003).
  • Chen, Y., Kimball, J., Note on an open problem of Feng Qi, Journal of Inequalities in Pure and Applied Mathematics, 7(1), (2006).
  • Csiszár, V., Móri, T. F., The convexity method of proving moment-type inequalities, Statistics & Probability Letters, 66(3), 303-313, (2004).
  • Qi, F., Li, A. J., Zhao, W. Z., Niu, D. W., Cao, J. Extensions of several integral inequalities, Journal Inequalities in Pure and Applied Mathematics, 7(3), 1-6, (2006).
  • Pečarić, J., Pejković, T., Note on Feng Qi’s integral inequality, Journal Inequalities in Pure and Applied Mathematics, 5(3), Art. 51, (2004).
  • Pogány, T. K., On an open problem of F. Qi, Journal of Inequalities in Pure and Applied Mathematics, 3 (4), Art. 54, (2002).
  • Towghi, N., Notes on integral inequalities, Research Group in Mathematical Inequalities and Applications, 4(2), 277-278, (2001).
  • Yıldırım, M. E., Akkurt, A., Yıldırım, H., Generalized Qi's Integral Inequality, Cumhuriyet Üniversitesi Fen-Edebiyat Fakültesi Fen Bilimleri Dergisi, 37(1), 12-19, (2016).
  • Yu, K. W., Qi, F., A short note on an integral inequality, Research Group in Mathematical Inequalities and Applications, 4(1), (2001).
  • Brahim, K., Bettaibi, N., Sellemi, M., On some Feng Qi type q-integral inequalities, Journal of Inequalities in Pure and Applied Mathematics, 9(2), 1-7, (2008).
  • Miao, Y., Qi F., Several q-integral inequalities, Journal of Mathematical Inequalities, 3(1), 115-121, (2009).
  • Brodimas, G., Mignani, R.P., Jannussis, A., Two-parameter quantum groups, Universitadi Roma Preprint, Nr. 820 (1991).
  • Chakrabarti, R., Jagannathan, R., A (p,q)-oscillator realization of two-parameter quantum algebras, Journal of Physics A: Mathematical and General, 24(11), (1991).
  • Sadjang, P. N., On the Fundamental Theorem of (p,q)-Calculus and Some (p,q)-Taylor Formulas, Results Mathematics, 73 (39), (2018).
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Bölüm Araştırma Makalesi
Yazarlar

İlker Gençtürk 0000-0002-0492-939X

Yayımlanma Tarihi 29 Ocak 2021
Gönderilme Tarihi 27 Ağustos 2020
Yayımlandığı Sayı Yıl 2021 Cilt: 23 Sayı: 1

Kaynak Göster

APA Gençtürk, İ. (2021). Bazı Feng Qi tipli (p,q)-integral eşitsizlikleri. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 23(1), 366-376. https://doi.org/10.25092/baunfbed.854839
AMA Gençtürk İ. Bazı Feng Qi tipli (p,q)-integral eşitsizlikleri. BAUN Fen. Bil. Enst. Dergisi. Ocak 2021;23(1):366-376. doi:10.25092/baunfbed.854839
Chicago Gençtürk, İlker. “Bazı Feng Qi Tipli (p,q)-Integral eşitsizlikleri”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 23, sy. 1 (Ocak 2021): 366-76. https://doi.org/10.25092/baunfbed.854839.
EndNote Gençtürk İ (01 Ocak 2021) Bazı Feng Qi tipli (p,q)-integral eşitsizlikleri. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 23 1 366–376.
IEEE İ. Gençtürk, “Bazı Feng Qi tipli (p,q)-integral eşitsizlikleri”, BAUN Fen. Bil. Enst. Dergisi, c. 23, sy. 1, ss. 366–376, 2021, doi: 10.25092/baunfbed.854839.
ISNAD Gençtürk, İlker. “Bazı Feng Qi Tipli (p,q)-Integral eşitsizlikleri”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 23/1 (Ocak 2021), 366-376. https://doi.org/10.25092/baunfbed.854839.
JAMA Gençtürk İ. Bazı Feng Qi tipli (p,q)-integral eşitsizlikleri. BAUN Fen. Bil. Enst. Dergisi. 2021;23:366–376.
MLA Gençtürk, İlker. “Bazı Feng Qi Tipli (p,q)-Integral eşitsizlikleri”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 23, sy. 1, 2021, ss. 366-7, doi:10.25092/baunfbed.854839.
Vancouver Gençtürk İ. Bazı Feng Qi tipli (p,q)-integral eşitsizlikleri. BAUN Fen. Bil. Enst. Dergisi. 2021;23(1):366-7.