Results 21 to 30 of about 2,947,823 (273)
Totalization of the Montgomery identity
Novi Sad Journal of Mathematics, 2015 Summary: The aim of this note is to define the total value of the Riemann integral that can be used to generalize the well-known Montgomery identity.
Sarić, Branko, Jakupović, Esad
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Advances in Difference Equations, 2021 In this investigation, we demonstrate the quantum version of Montgomery identity for the functions of two variables. Then we use the result to derive some new Ostrowski-type inequalities for the functions of two variables via quantum integrals.
Muhammad Aamir Ali +5 more
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Ostrowski Type Inequalities for s-Convex Functions via q-Integrals
Journal of Function Spaces, 2022 The new outcomes of the present paper are q-analogues (q stands for quantum calculus) of Hermite-Hadamard type inequality, Montgomery identity, and Ostrowski type inequalities for s-convex mappings.
Khuram Ali Khan +4 more
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Journal of Inequalities and Applications, 2021 The main objective of this article is to establish a new post quantum version of Montgomery identity. Some estimates of associated post quantum bounds are also obtained.
Yu-Ming Chu +4 more
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Montgomery's identities for function of two variables
Journal of Mathematical Analysis and Applications, 2007 We point out weighted Montgomery's identities for function of two variables and apply them to give a new inequalities of the Ostrowski type for mappings of two independent variables and of the Gr\"{; ; ; ; ; ; u}; ; ; ; ; ; ss type inequalities for double weighted integrals.
Vukelić, Ana, Pečarić, Josip
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Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations
Journal of Function Spaces, 2018 We prove new Hermite-Hadamard inequalities for conformable fractional integrals by using convex function, s-convex, and coordinate convex functions. We prove new Montgomery identity and by using this identity we obtain generalized Hermite-Hadamard type ...
Muhammad Adil Khan +4 more
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Generalized Steffensen's inequality by Montgomery identities and Green functions [PDF]
Mathematical Inequalities & Applications, 2019 Summary: A new generalization of Steffensen's inequality and other inequalities related to Steffnesen's inequality have been proved. The contribution of these new generalizations has been presented to theory of \((n+1)\)-convex functions and exponentially convex functions.
Fahad A., Pecaric J.
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Correction: Quantum Montgomery identity and quantum estimates of Ostrowski type inequalities
AIMS Mathematics, 2021 5 ...
Andrea Aglić Aljinović +3 more
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Communications in Advanced Mathematical Sciences, 2019 We give a general complex multivariate Montgomery type identity which is a representation formula for a complex multivariate function. Using it we produce general tight complex multivariate high order Ostrowski and Grüss type inequalities.
George Anastassıou
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Generalizations of Steffensen's inequality via weighted Montgomery identity [PDF]
Mathematical Inequalities & Applications, 2014 Some new generalizations of Steffensen's inequality are obtained by means of weighted Montgomery identity and estimations between difference of two weighted integral means. Further, functionals associated to these new generalizations are observed and used to generate n-exponentially and exponentially convex functions as well as to obtain new Stolarsky ...
Aglić-Aljinović, Andrea +2 more
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