Correction: Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities

Andrea Aglić Aljinović; Domagoj Kovačević; Mehmet Kunt; Mate Puljiz; Andrea Aglić Aljinović; Domagoj Kovačević; Mehmet Kunt; Mate Puljiz

doi:10.3934/math.2021114

AIMS Mathematics

2021, Volume 6, Issue 2: 1880-1888. doi: 10.3934/math.2021114

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Correction

Correction: Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities

1.
University of Zagreb, Faculty of Electrical Engineering and Computing, Unska 3, 10 000 Zagreb, Croatia
2.
Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, 61080, Trabzon, Turkey

Received: 02 September 2020 Accepted: 15 October 2020 Published: 02 December 2020

We disprove and correct some recently obtained results regarding Montgomery identity for quantum integral operator and Ostrowski type inequalities involving convex functions.
- q-derivative,
- q-integral,
- Jackson integral,
- Montgomery identity,
- Ostrowski inequality
Citation: Andrea Aglić Aljinović, Domagoj Kovačević, Mehmet Kunt, Mate Puljiz. Correction: Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities[J]. AIMS Mathematics, 2021, 6(2): 1880-1888. doi: 10.3934/math.2021114

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Abstract

We disprove and correct some recently obtained results regarding Montgomery identity for quantum integral operator and Ostrowski type inequalities involving convex functions.

References

[1]	M. H. Annaby, Z. S. Mansour, q-Fractional Calculus and Equations, Heidelberg: Springer, 2012.
[2]	F. H. Jackson, On q-functions and a certain difference operator, Trans. R. Soc. Edinb., 46 (1908), 253-281.
[3]	V. Kac, P. Cheung, Quantum Calculus, New York: Springer, 2002.
[4]	M. Kunt, A. Kashuri, T. Du, A. W. Baidar, Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities, AIMS Math., 5 (2020), 5439-5457. doi: 10.3934/math.2020349
[5]	J. Tariboon, S. K. Ntouyas, Quantum calculus on finite intervals and application to impulsive difference equations, Adv. Differ. Equ., 2013 (2013), 1-19. doi: 10.1186/1687-1847-2013-1

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