Generalization of Montgomery identity via Taylor formula on time scales
Journal of Inequalities and Applications, 2022 In the current paper, a generalized Montgomery identity is obtained with the help of Taylor’s formula on time scales. The obtained identity is used to establish Ostrowski inequality, mid-point inequality, and trapezoid inequality.
Sumaiya Malik +3 more
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Generalized Jensen’s functional on time scales via extended Montgomery identity [PDF]
Journal of Inequalities and Applications, 2021 In the paper, we use Jensen’s inequality for diamond integrals and generalize it for n-convex functions with the help of an extended Montgomery identity.
Sofia Ramzan +3 more
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Levinson-type inequalities via new Green functions and Montgomery identity
Open Mathematics, 2020 In this study, Levinson-type inequalities are generalized by using new Green functions and Montgomery identity for the class of k-convex functions (k ≥ 3). Čebyšev-, Grüss- and Ostrowski-type new bounds are found for the functionals involving data points
Adeel Muhammad +3 more
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Montgomery identity and Ostrowski-type inequalities via quantum calculus
Open Mathematics, 2021 In this paper, we prove a quantum version of Montgomery identity and prove some new Ostrowski-type inequalities for convex functions in the setting of quantum calculus.
Sitthiwirattham Thanin +4 more
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Montgomery Identity and Ostrowski Type Inequalities for Riemann-Liouville Fractional Integral [PDF]
Journal of Mathematics, 2014 We present Montgomery identity for Riemann-Liouville fractional integral as well as for fractional integral of a function f with respect to another function g.
Andrea Aglić Aljinović
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Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities
AIMS Mathematics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehmet Kunt, Artion Kashuri
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Extension of Montgomery identity via Taylor polynomial on time scales
Turkish Journal of Mathematics, 2020 Summary: An extension in Montgomery identity with the help of Taylor's formula on time scales is provided in the paper, which is used to establish Ostrowski type inequality, midpoint inequality and trapezoid type inequality on time scales in generalized forms.
Khalid Mahmood Awan +2 more
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Generalized Ostrowski-Gruss Like Inequality on Time Scales [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we present a generalization of the Montgomery Identity to various time scale versions, including the discrete case, continuous case, and the case of quantum calculus.
Faraz Mehmood +2 more
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Weighted Cebysev Type Inequalities for Double Integrals and Application [PDF]
Sahand Communications in Mathematical Analysis, 2021 The purpose of this article is to generalize Cebysev type inequalities for double integrals involving a weight function.By using an integral transform that is a weighted Montgomery identity, we obtained a generalized form of weighted Cebysev type ...
Asif Khan, Hira Nasir, Syed Shirazi
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On Rabier's result and nonbounded Montgomery's identity [PDF]
Mathematical Inequalities & Applications, 2019 Summary: In this paper, we use generalized Montgomery's identity, given in [the third author, Bul. Ştiinţ. Teh. Inst. Politeh. Timişoara, Ser. Mat.-Fiz. 25(39), No. 1, 5--9 (1980; Zbl 0478.26009)], to give improvement of result from [\textit{P. J. Rabier}, Proc. Am. Math. Soc. 140, No.
Fahad A., Jakšetić J., Pečarić J.
openaire +3 more sources