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

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.

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

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,

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[1] Qi, F., Several integral inequalities, Journal of Inequalities in Pure and Applied Mathematics, 1 (2), Art. 19, (2000).
[2] Akkouchi, M., On an integral inequality of Feng Qi, Divulgaciones Matemáticas, 13(1), 11-19, (2005).
[3] Bougoffa, L., Notes on Qi type inequalities, Journal of Inequalities in Pure and Applied Mathematics, 4 (4), Art. 77, (2003).
[4] Chen, Y., Kimball,J., Note on an open problem of Feng Qi, Journal of Inequalities in Pure and Applied Mathematics, 7(1), (2006).
[5] Csiszár, V., Móri, T. F., The convexity method of proving moment-type inequalities, Statistics & Probability Letters, 66(3), 303-313, (2004).
[6] 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).
[7] Pečarić, J., Pejković, T., Note on Feng Qi’s integral inequality, Journal Inequalities in Pure and Applied Mathematics, 5(3), Art. 51, (2004).
[8] Pogány, T. K., On an open problem of F. Qi, Journal of Inequalities in Pure and Applied Mathematics, 3 (4), Art. 54, (2002).
[9] Towghi, N., Notes on integral inequalities, Research Group in Mathematical Inequalities and Applications, 4(2), 277-278, (2001).
[10] 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).
[11] Yu, K. W., Qi, F., A short note on an integral inequality, Research Group in Mathematical Inequalities and Applications, 4(1), (2001).
[12] 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).
[13] Miao, Y., Qi F., Several q-integral inequalities, Journal of Mathematical Inequalities, 3(1), 115-121, (2009).
[14] Brodimas, G., Mignani, R.P., Jannussis, A., Two-parameter quantum groups, Universitadi Roma Preprint, Nr. 820 (1991).
[15] Chakrabarti, R., Jagannathan, R., A (?, ?)-oscillator realization of two-parameter quantum algebras, Journal of Physics A: Mathematical and General, 24(11), (1991).
[16] Sadjang, P. N., On the Fundamental Theorem of (?, ?)-Calculus and Some (?, ?)- Taylor Formulas, Results Mathematics, 73 (39), (2018).