Results 41 to 50 of about 1,333 (161)
On generalization conformable fractional integral inequalities
The main issues addressed in this paper are making generalization of Gronwall, Volterra and Pachpatte type inequalities for conformable differential equations. By using the Katugampola definition for conformable calculus we found some upper and lower bound for integral inequalities.
Usta, Fuat, Sarıkaya, Mehmet Zeki
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Weighted Norm Inequalities for Fractional Integrals [PDF]
A simpler proof of an inequality of Muckenhoupt and Wheeden is given. Let T α f ( x ) = ∫ f ( y ) | x − y | α
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Some generalized Riemann-Liouville k-fractional integral inequalities
The focus of the present study is to prove some new Pólya-Szegö type integral inequalities involving the generalized Riemann-Liouville k-fractional integral operator.
Praveen Agarwal +2 more
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Generalized Fractional Integral Inequalities for MT-Non-Convex and pq-Convex Functions
Fractional integral inequalities have a wide range of applications in pure and applied mathematics. In the present research, we establish generalized fractional integral inequalities for MT-non-convex functions and pq-convex functions.
Wei Wang +3 more
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Fractional Integrals and Generalized Olsen Inequalities
Summary: Let \(T_\rho\) be the generalized fractional integral operator associated to a function \(\rho:(0,\infty)\to(0,\infty)\), as defined in [\textit{E. Nakai}, Taiwanese J. Math. 5, No.~3, 587--602 (2001; Zbl 0990.26007)]. For a function \(W\) on \(\mathbb R^n\), we be interested in the boundedness of the multiplication operator \(f\mapsto W\cdot ...
Hendra Gunawan, Eridani
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Weak Type Inequalities for Some Integral Operators on Generalized Nonhomogeneous Morrey Spaces
We prove weak type inequalities for some integral operators, especially generalized fractional integral operators, on generalized Morrey spaces of nonhomogeneous type.
Hendra Gunawan +3 more
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New Inequalities Using Multiple Erdélyi–Kober Fractional Integral Operators
The role of fractional integral inequalities is vital in fractional calculus to develop new models and techniques in the most trending sciences. Taking motivation from this fact, we use multiple Erdélyi–Kober (M-E-K) fractional integral operators to ...
Asifa Tassaddiq +4 more
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Certain Inequalities Involving Generalized Erdélyi-Kober Fractional q-Integral Operators
In recent years, a remarkably large number of inequalities involving the fractional q-integral operators have been investigated in the literature by many authors.
Praveen Agarwal +3 more
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On Fractional Integral Inequalities Involving Hypergeometric Operators [PDF]
Here we aim at establishing certain new fractional integral inequalities involving the Gauss hypergeometric function for synchronous functions which are related to the Chebyshev functional. Several special cases as fractional integral inequalities involving Saigo, Erdélyi-Kober, and Riemann-Liouville type fractional integral operators are presented in ...
Baleanu, D. +2 more
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Two weighted inequalities for B-fractional integrals [PDF]
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Eroglu, Ahmet +2 more
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