Araştırma Makalesi

Some new integral inequalities of the Simpson type for MT-convex functions

Cilt: 6 Sayı: 2 30 Haziran 2022
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Some new integral inequalities of the Simpson type for MT-convex functions

Öz

In the paper, with the aid of a known integral identity, the authors establish some new inequalities, similar to the celebrated Simpson's integral inequality, for differentiable MT-convex functions.

Anahtar Kelimeler

Kaynakça

  1. [1] R.-F. Bai, F. Qi, and B.-Y. Xi, Hermite-Hadamard type inequalities for the m- and (α,m)-logarithmically convex functions, Filomat 27 (2013), no. 1, 1-7; available online at https://doi.org/10.2298/FIL1301001B.
  2. [2] S.-P. Bai, S.-H. Wang, and F. Qi, On HT-convexity and Hadamard-type inequalities, J. Inequal. Appl. 2020, Paper No. 3, 12 pages; available online at https://doi.org/10.1186/s13660-019-2276-3.
  3. [3] J. Cao, H.M. Srivastava, and Z.-G. Liu, Some iterated fractional q-integrals and their applications, Fract. Calc. Appl. Anal. 21 (2018), no. 3, 672-695; available online at https://doi.org/10.1515/fca-2018-0036.
  4. [4] Y.-M. Chu, M.A. Khan, T.U. Khan, and T. Ali, Generalizations of Hermite-Hadamard type inequalities for MT-convex functions, J. Nonlinear Sci. Appl. 9 (2016), no. 6, 4305-4316; available online at https://doi.org/10.22436/jnsa.009. 06.72.
  5. [5] U.N. Katugampola, A new approach to generalized fractional derivatives, Bull. Math. Anal. Appl. 6 (2014), no. 4, 1?15; available online at https://doi.org/10.1007/BF01837981.
  6. [6] W. Liu and W. Wen, Some generalizations of different type of integral inequalities for MT-convex functions, Filomat 30 (2016), no. 2, 333-342; available online at https://doi.org/10.2298/FIL1602333L.
  7. [7] W. Liu, W. Wen, and J. Park, Hermite-Hadamard type inequalities for MT-convex functions via classical integrals and fractional integrals, J. Nonlinear Sci. Appl. 9 (2016), no. 3, 766-777; available online at https://doi.org/10.22436/jnsa. 009.03.05.
  8. [8] W. Liu, W. Wen, and J. Park, Ostrowski type fractional integral inequalities for MT-convex functions, Miskolc Math. Notes 16 (2015), no. 1, 249-256; available online at https://doi.org/10.18514/mmn.2015.1131.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Haziran 2022

Gönderilme Tarihi

3 Ekim 2021

Kabul Tarihi

13 Ocak 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 6 Sayı: 2

Kaynak Göster

APA
Jin, S., Aying, W., & Guo, B.- ni. (2022). Some new integral inequalities of the Simpson type for MT-convex functions. Advances in the Theory of Nonlinear Analysis and its Application, 6(2), 168-172. https://doi.org/10.31197/atnaa.1003964
AMA
1.Jin S, Aying W, Guo B ni. Some new integral inequalities of the Simpson type for MT-convex functions. ATNAA. 2022;6(2):168-172. doi:10.31197/atnaa.1003964
Chicago
Jin, Siqintuya, Wan Aying, ve Bai-ni Guo. 2022. “Some new integral inequalities of the Simpson type for MT-convex functions”. Advances in the Theory of Nonlinear Analysis and its Application 6 (2): 168-72. https://doi.org/10.31197/atnaa.1003964.
EndNote
Jin S, Aying W, Guo B- ni (01 Haziran 2022) Some new integral inequalities of the Simpson type for MT-convex functions. Advances in the Theory of Nonlinear Analysis and its Application 6 2 168–172.
IEEE
[1]S. Jin, W. Aying, ve B.- ni Guo, “Some new integral inequalities of the Simpson type for MT-convex functions”, ATNAA, c. 6, sy 2, ss. 168–172, Haz. 2022, doi: 10.31197/atnaa.1003964.
ISNAD
Jin, Siqintuya - Aying, Wan - Guo, Bai-ni. “Some new integral inequalities of the Simpson type for MT-convex functions”. Advances in the Theory of Nonlinear Analysis and its Application 6/2 (01 Haziran 2022): 168-172. https://doi.org/10.31197/atnaa.1003964.
JAMA
1.Jin S, Aying W, Guo B- ni. Some new integral inequalities of the Simpson type for MT-convex functions. ATNAA. 2022;6:168–172.
MLA
Jin, Siqintuya, vd. “Some new integral inequalities of the Simpson type for MT-convex functions”. Advances in the Theory of Nonlinear Analysis and its Application, c. 6, sy 2, Haziran 2022, ss. 168-72, doi:10.31197/atnaa.1003964.
Vancouver
1.Siqintuya Jin, Wan Aying, Bai-ni Guo. Some new integral inequalities of the Simpson type for MT-convex functions. ATNAA. 01 Haziran 2022;6(2):168-72. doi:10.31197/atnaa.1003964

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