| [1] |
M. W. Alomari and S. S. Dragomir, Various error estimations for several Newton-Cotes quadrature formulae in terms of at most first derivative and applications in numerical integration, Jordan J. Math. Stat. 7 (2014), no. 2, 89-108. · Zbl 1304.26016 |
| [2] |
S. S. Dragomir, P. Cerone, and J. Roumeliotis, A new generalization of Ostrowski integral inequality for mappings whose derivatives are bounded and applications in numerical integration and for special means, Appl. Math. Lett. 13 (2000), no. 1, 19-25. · Zbl 0946.26013 |
| [3] |
N. Ujević, A generalization of Ostrowski’s inequality and applications in numerical integration, Appl. Math. Lett. 17 (2004), 133-137. · Zbl 1057.26023 |
| [4] |
M. W. Alomari and M. K. Bakula, An application of Hayashias inequality for differentiable functions, Mathematics 10 (2022), no. 6, 907. |
| [5] |
M. W. Alomari, C. Chesneau, V. Leiva, and C. M. Barreiro, Improvement of some Hayashi-Ostrowski type inequalities with applications in a probability setting, Mathematics 10 (2022), no. 13, 2316. |
| [6] |
R. P. Agarwal and S. S. Dragomir, An application of Hayashi’s inequality for differentiable functions, Comput. Math. Appl. 32 (1996), no. 6, 95-99. · Zbl 0874.26017 |
| [7] |
M. W. Alomari, A companion of Ostrowski’s inequality for mappings whose first derivatives are bounded and applications in numerical integration, Kragujevac J. Math. 36 (2012), 77-82. · Zbl 1289.26037 |
| [8] |
M. W. Alomari, New sharp inequalities of Ostrowski and generalized trapezoid type for the Riemann-Stieltjes integrals and applications, Ukrainian Math. J. 65 (2013), no. 7, 895-916. |
| [9] |
A. Hazaymeh, R. Saadeh, R. Hatamleh, M. W. Alomari, and A. Qazza, A perturbed Milne’s quadrature rule for n-times differentiable functions with Lp-error estimates, Axioms 12 (2023), no. 9, 803. |
| [10] |
M. W. Alomari, A companion of Dragomiras generalization of Ostrowski’s inequality and applications in numerical integration, Ukrainian Math. J. 64 (2012), no. 4, 435-450. · Zbl 1257.26016 |
| [11] |
M. W. Alomari, A companion of the generalized trapezoid inequality and applications, J. Math. Appl. 36 (2013), 5-15. · Zbl 1382.26019 |
| [12] |
P. Cerone, S. S. Dragomir, and C. E. M. Pearce, A generalized trapezoid inequality for functions of bounded variation, Turkish J. Math. 24 (2000), 147-163. · Zbl 0974.26011 |
| [13] |
P. Cerone, S. S. Dragomir, and J. Roumeliotis, An inequality of Ostrowski-Griiss type for twice differentiable mappings and applications in numerical integration, RGMIA Research Report Collection 1 (1998), no. 2, 59-66. |
| [14] |
S. S. Dragomir and S. Wang, An inequality of Ostrowski-Grüss’ type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules, Comput. Math. Appl. 33 (1997), no. 11, 15-20. · Zbl 0880.41025 |
| [15] |
R. Saadeh, M. Abu-Ghuwaleh, A. Qazza, and E. Kuffi, A fundamental criteria to establish general formulas of integrals, J. Appl. Math. Comput. 2022 (2022), 1-16. · Zbl 1517.26003 |
| [16] |
H. Gauchman, Some integral inequalities involving Tayloras remainder, I, J. Inequal. Pure Appl. Math. 3 (2002), no. 2, 1-9. · Zbl 1006.26016 |
| [17] |
A. Guessab and G. Schmeisser, Sharp integral inequalities of the Hermite-Hadamard type, J. Approx. Theory 115 (2002), 260-288. · Zbl 1012.26013 |
| [18] |
R. Hatamleh, On the form of correlation function for a class of nonstationary field with a zero spectrum, Rocky Mountain J. Math. 33 (2003), no. 1, 159-173. · Zbl 1171.60346 |
| [19] |
R. Hatamleh and V. A. Zolotarev, Triangular models of commutative systems of linear operators close to unitary operators, Ukrainian Math. J. 68 (2016), 791-811. · Zbl 1498.47029 |
| [20] |
A. Hazaymeh, A. Qazza, R. Hatamleh, M. W. Alomari, and R. Saadeh, On further refinements of numerical radius inequalities, Axioms 12 (2023), 807. |
| [21] |
L. Hawawsheh, A. Qazza, R. Saadeh, A. Zraiqat, and I. M. Batiha, Lp-mapping properties of a class of spherical integral operators, Axioms 12 (2023), 802. |
| [22] |
T. Qawasmeh, A. Qazza, R. Hatamleh, M. W. Alomari, and R. Saadeh, Further accurate numerical radius inequalities, Axioms 12 (2023), 801. |
| [23] |
M. Matić, J. Pečarić, and N. Ujević, Improvement and further generalization of inequalities of Ostrowski-Grüss type, Comput. Math. Appl. 39 (2000), 161-175. · Zbl 0952.26013 |
| [24] |
N. Ujević, New bounds for the first inequality of Ostrowski-Grüss type and applications, Comput. Math. Appl. 46 (2003), 421-427. · Zbl 1052.26021 |
| [25] |
S. S. Dragomir and T. M. Rassias, Ostrowski Type Inequalities and Applications in Numerical Integration, 1st Ed., Springer, Dordrecht, 2002, DOI: https://doi.org/10.1007/978-94-017-2519-4. · Zbl 0992.26002 |
| [26] |
P. Cerone and S. S. Dragomir, Mathematical Inequalities, A Perspective, 1st Ed., CRC Press, Boca Raton, 2010. |
| [27] |
A. Qazza and R. Hatamleh, The existence of a solution for semi-linear abstract differential equations with infinite b-chains of the characteristic sheaf, Int. J. Appl. Math. Comput. Sci. 31 (2018), no. 5, 611-620. |
| [28] |
M. Abu-Ghuwaleh, R. Saadeh, and A. Qazza, General master theorems of integrals with applications, Mathematics 10 (2022), 3547. |
| [29] |
G. A. Anastassiou, Advanced Inequalities, Series on Concrete and Applicable Mathematics, vol. 11, World Scientific Publishing, Singapore, 2010, DOI: https://doi.org/10.1142/7847. |
| [30] |
N. Irshad, A. R. Khan, F. Mehmood, and J. Pečarić, New Perspectives on the Theory of Inequalities for Integral and Sum, 1st Ed., Dordrecht, Birkhäuser, Cham, 2022, DOI: https://doi.org/10.1007/978-3-030-90563-7. · Zbl 1487.26001 |
| [31] |
D. S. Mitrinović, J. E. Pečarić, and A. M. Fink, Classical and New Inequalities in Analysis, Kluwer Academic Publishers, Dordrecht, 1993. · Zbl 0771.26009 |
| [32] |
P. K. Kythe and M. R. Schäferkotter, Handbook of Computational Methods for Integration, Chapman & Hall/CRC, London, 2004. |
