Results 131 to 140 of about 1,408 (159)

Norm inequalities with fractional integrals

St. Petersburg Mathematical Journal
Fractional spline wavelet systems are considered. Together with the Battle–Lemarié scaling and wavelet functions of natural orders, they are used to find conditions that ensure certain inequalities between the norms of images and pre-images of fractional integration operators in Besov spaces with Muckenhoupt weights on
Ushakova, E. P., Ushakova, K. E.
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Fractional Integral Inequalities with Convexity

2015
Here we present general integral inequalities involving convex and increasing functions applied to products of functions.
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Inequality Constraints in the Fractionally Integrated GARCH Model

Journal of Financial Econometrics, 2006
In this article we derive necessary and sufficient conditions for the nonnegativity of the conditional variance in the fractionally integrated generalized autoregressive conditional heteroskedastic (p, d, q) (FIGARCH) model of the order p 2a nd sufficient conditions for the general model.
Conrad, Christian, Haag, Berthold R.
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Inequalities via fractional integration

1975
There are many useful inequalities involving trigonometric and algebraic polynomials. No universal method exists to find them, but the following general method is quite useful and has led to a number of new inequalities for trigonometric polynomials and suggested others: first, prove a specific inequality, and then use fractional integration to ...
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Pseudo-fractional integral inequality of Chebyshev type

Information Sciences, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hamzeh Agahi, Azizollah Babakhani, Radko Mesiar   +2 more
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Some Inequalities for Fractional Integrals

1978
In 1958 T.M. Flett, building on work of Hardy, Littlewood and others, gave an inequality relating an Lp-norm of a function with an Lq-norm of a fractional integral of it. Two generalizations of this inequality are given, with the fractional integral operator replaced by a more general integral operator.
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Basic Fractional Integral Inequalities

2015
Here we present basic fractional integral inequalities for left and right Riemann-Liouville, generalized Riemann-Liouville, Hadamard, Erdelyi-Kober and multivariate Riemann-Liouville fractional integrals.
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Fractional Polya Integral Inequality

2015
Here we establish a fractional Polya type integral inequality with the help of generalised right and left fractional derivatives.
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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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CONFORMABLE FRACTIONAL INTEGRALS AND RELATED NEW INTEGRAL INEQUALITIES

2019
In the present note, we have given the definition of conformable fractional integrals and some further properties. In the second part, we have established some Gruss type integral inequalities by using the bounded functions and Lipschitzian mappings via conformable fractional integrals.
Akdemir A.o., Ekinci A., Set E., Akdemir, Ahmet Ocak, Belirlenecek, Akdemir, A.O., Ağrı İbrahim g? University, Faculty of Science and Letters, Department of Mathematics, A?? 04100, Turkey; Ekinci, A., Ağrı İbrahim g? University, Faculty of Science and Letters, Department of Mathematics, A?? 04100, Turkey; Set, E., Ordu University, Faculty of Science and Letters, Department of Mathematics, Ordu, Turkey   +5 more
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