Results 141 to 150 of about 9,027 (156)

On Fractional Inequalities via Montgomery Identities

International Journal of Open Problems in Complex Analysis, 2014
In the present work we give several new integral inequalities via Riemann-Liouville fractional integral and Montgomery ...
Mehmet Zeki Sarikaya, Hatice Yaldrz, Erhan Set   +2 more
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Generalizations of Sherman’s inequality by Montgomery identity and Green function

Electronic Journal of Mathematical Analysis and Applications, 2017
In this paper, we give generalization of Sherman inequality by using Green function and Montgomery identity. We present Gr¨uss and Ostrowskitype inequalities related to generalized Sherman inequality. We give mean value theorems and n-exponential convexity for the functional associated to generalized inequality. We also give a family of functions which
Khan, M. A., Khan, J., Pečarić, Josip
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SCREENING L.M. MONTGOMERY: HERITAGE, NOSTALGIA AND NATIONAL IDENTITY

British Journal of Canadian Studies, 2004
I don't know why I keep on going to see my favourite books screened. The result is always a disappointment. (Montgomery, Selected Journals, vol. 111: 26)
Philippa Gates, Stacy Gillis
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Generalization of cyclic refinements of Jensen inequality by montgomery identity and Green’s function

Asian-European Journal of Mathematics, 2018
We consider discrete and continuous cyclic refinements of Jensen’s inequality and generalize them from convex function to higher order convex function by means of Lagrange Green’s function and Montgomery identity. We give application of our results by formulating the monotonicity of the linear functionals obtained from generalized identities utilizing ...
Mehmood, Nasir, Butt, Saad Ihsan, Pečarić, Josip   +2 more
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Weighted Simpson’s inequalities and extension of Montgomery identity

2006
Some new inequalities (error estimates) concerning weighted Simp- son type numerical integration for suitable function spaces and norms are proved, discussed and compared with similar results in the literature. As a natural preparation we also prove an extension of a weighted form of the Montgomery identity.
Čuljak, Vera, Pečarić, Josip, Persson, Lars-Erik   +2 more
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An application of the Montgomery identity to quadrature rules

Rendiconti del seminario matematico, 2008
We use the Montgomery identity to obtain an optimal quadrature rule. It turns out that this rule is the well-known compound trapezoidal rule.
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On the generalized montgomery identity for double integrals

2017
In this paper, we establish a generalized Montgomery identity for double integrals and some new generalized Ostrowski type inequality for double integrals is obtained by using fairly elementary analysis.
Sarıkaya, Mehmet Zeki, Yıldız, M.K.
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Montgomery Identities for Fractional Integrals and Fractional Inequalities

2011
In this chapter we develop some integral identities and inequalities for the fractional integral. We obtain Montgomery identities for fractional integrals and a generalization for double fractional integrals. We also give Ostrowski and Gruss inequalities for fractional integrals. This chapter is based on [80].
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On Landau type inequalities via extension of Montgomery identity, Euler and Fink identities

Nonlinear functional analysis and applications, 2005
Four different versions of Landau type inequalities are given. First one is obtained using extension of the Montgomery identity via Taylor's formula, then another for functions with Holder continuous derivatives, then one using the Euler identity and the one obtained via the Fink identity.
Aglić-Aljinović, Andrea, Marangunić, Ljubo, Pečarić, Josip   +2 more
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Hardy-type inequalities generalized via Montgomery identity

Montes Taurus journal of pure and applied mathematics
In this talk, we give generalization of Hardy’s type inequalities by using the Green function and the Montgomery identity. We lean on the idea of the generalization of the Hardy inequality that includes measure spaces with positive σ-finite measures. We provide the result concerning the n-convexity property of the function and establish the connection ...
Praljak, Marjan, Pokaz, Dora, Krulić Himmelreich, Kristina   +2 more
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