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Inequality Constraints in the Fractionally Integrated GARCH Model
Journal of Financial Econometrics, 2006In 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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Pseudo-fractional integral inequality of Chebyshev type
Information Sciences, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hamzeh Agahi +2 more
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Fractional Integral Inequalities with Convexity
2015Here we present general integral inequalities involving convex and increasing functions applied to products of functions.
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Inequalities via fractional integration
1975There 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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Some Inequalities for Fractional Integrals
1978In 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
2015Here 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
2015Here 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
2011In 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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Fractional Newton‐type integral inequalities for the Caputo fractional operator
Mathematical Methods in the Applied SciencesIn this paper, we present a set of Newton‐type inequalities for n‐times differentiable convex functions using the Caputo fractional operator, extending classical results into the fractional calculus domain. Our exploration also includes the derivation of Newton‐type inequalities for various classes of functions by employing the Caputo fractional ...
Yukti Mahajan, Harish Nagar
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More General Weighted-Type Fractional Integral Inequalities via Chebyshev Functionals
Fractal and Fractional, 2021Gauhar Rahman +2 more
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