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On some new inequalities involving generalized Erdélyi-Kober fractional $q$-integral operator  [PDF]
Daniele Ritelli,Praveen Agarwal
Mathematics , 2014,
Abstract: In the present investigation, we aim to establish some inequalities involving generalized Erd\'elyi-Kober fractional $q$-integral operator of the two parameters of deformation $q_{1}$ and $q_{2}$ due to Gaulu\'e, by following the same lines used by Baleanu and Agarwal in their recent paper. Relevant connections of the results presented here with those earlier ones are also pointed out.
Fractional Sobolev-Poincare inequalities in irregular domains  [PDF]
Chang-Yu Guo
Mathematics , 2014,
Abstract: This paper is devoted to the study of fractional (q,p)-Sobolev-Poincare inequalities in irregular domains. In particular, we establish (essentially) sharp fractional (q,p)-Sobolev-Poincare inequality in s-John domains and in domains satisfying the quasihyperbolic boundary conditions. When the order of the fractional derivative tends to 1, our results tends to the results for the usual derivative. Furthermore, we verified that those domains that support the fractional (q,p)-Sobolev-Poincare inequality together with a separation property are s-diam John domains for certain s, depending only on the associated data. We also point out an inaccurate statement in [2].
On fractional Poincaré inequalities  [PDF]
Ritva Hurri-Syrj?nen,Antti V. V?h?kangas
Mathematics , 2011,
Abstract: We show that fractional (p,p)-Poincar\'e inequalities and even fractional Sobolev-Poincar\'e inequalities hold for bounded John domains, and especially for bounded Lipschitz domains. We also prove sharp fractional (1,p)-Poincar\'e inequalities for s-John domains.
Fractional Quantum Integral Inequalities  [cached]
??ünmez Hasan,?zkan UmutMutlu
Journal of Inequalities and Applications , 2011,
Abstract: The aim of the present paper is to establish some fractional -integral inequalities on the specific time scale, , a nonnegative integer , where , and .
Inequalities for Integer and Fractional Parts  [PDF]
Mihaly Bencze,Florentin Smarandache
Mathematics , 2007,
Abstract: In this paper we present 43 new inequalities related to integer part and fractional part.
A framework for fractional Hardy inequalities  [PDF]
Bart?omiej Dyda,Antti V. V?h?kangas
Mathematics , 2013,
Abstract: We provide a general framework for fractional Hardy inequalities. Our framework covers, for instance, fractional inequalities related to the Dirichlet forms of some L\'evy processes, and weighted fractional inequalities on irregular open sets.
Fractional Sobolev-Poincaré and fractional Hardy inequalities in unbounded John domains  [PDF]
Ritva Hurri-Syrj?nen,Antti V. V?h?kangas
Mathematics , 2013,
Abstract: We prove fractional Sobolev-Poincar\'e inequalities in unbounded John domains and we characterize fractional Hardy inequalities there.
Discrete fractional Calculus and Inequalities  [PDF]
George A. Anastassiou
Mathematics , 2009,
Abstract: Here we define a Caputo like discrete fractional difference and we compare it to the earlier defined Riemann-Liouville fractional discrete analog. Then we produce discrete fractional Taylor formulae for the first time, and we estimate their remainders. Finally, we derive related discrete fractional Ostrowski, Poincare and Sobolev type inequalities.
Univariate right fractional Ostrowski inequalities
Anastassiou,George A;
Cubo (Temuco) , 2012, DOI: 10.4067/S0719-06462012000100001
Abstract: very general univariate right caputo fractional ostrowski inequalities are presented. one of them is proved sharp and attained. estimates are with respect to
Fractional integral inequalities for different functions  [PDF]
M. Emin ?zdemir,?Etin Yildiz,Havva Kavurmaci
Mathematics , 2012,
Abstract: In this paper, we establish several inequalities for different convex mappings that are connected with the Riemann-Liouville fractional integrals. Our results have some relationships with certain integral inequalities in the literature.
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