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

Year 2021, Volume: 23 Issue: 1, 366 - 376, 29.01.2021

İlker Gençtürk

https://doi.org/10.25092/baunfbed.854839

Abstract

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.

Keywords

Eşitsizlikler, (p,q)-türev, (p,q)-integral

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

Abstract

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.

Keywords

Inequalities, (p,q)-derivative, (p,q)-integral

References

• 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).