Boundedness for Higher Order Commutators of Fractional Integrals on Variable Exponent Herz–Morrey Spaces
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DOI: 10.1007/s00009-017-1002-y
Abstract: In this paper, the boundedness for higher order commutators of fractional integrals is obtained on variable exponent Herz–Morrey spaces $$ M\dot{K}_{p, q(\cdot )}^{\alpha (\cdot ), \lambda }(\mathbb {R}^{n})$$MK˙p,q(·)α(·),λ(Rn) applying some properties of variable exponent and… read more here.
Keywords: fractional integrals; higher order; commutators fractional; boundedness higher ... See more keywords
On Fejer Type Inequalities for Convex Mappings Utilizing Fractional Integrals of a Function with Respect to Another Function
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DOI: 10.1007/s00025-019-0960-8
Abstract: In this work, we first establish Hermite–Hadamard–Fejer type inequalities for convex function involving fractional integrals with respect to another function which are generalization of some important fractional integrals such as the Riemann–Liouville fractional integrals and… read more here.
Keywords: type inequalities; inequalities convex; respect another; fractional integrals ... See more keywords
Stochastic g-Fractional Integrals and their Bounds for Convex Stochastic Processes
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DOI: 10.1007/s00025-019-1112-x
Abstract: In this paper, we introduce stochastic g-fractional integrals of order $$ \alpha $$, containing stochastic fractional integrals (Hafiz in Stoch Anal Appl 22:507–523, 2004), stochastic integral (Shaked and Shanthikumar in Adv Appl Prob 20:427–446, 1988)… read more here.
Keywords: stochastic processes; integrals bounds; fractional integrals; convex stochastic ... See more keywords
Inequalities Involving Fractional Integrals of a Function and Its Derivative
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DOI: 10.1007/s10958-019-04436-1
Abstract: New inequalities for fractional integrals of a function and its derivative are proved. Lower estimates of weighted norms of the derivative through fractional Riemann–Liouville integrals are obtained. read more here.
Keywords: involving fractional; function derivative; integrals function; fractional integrals ... See more keywords
On Some Hermite–Hadamard Inequalities for Fractional Integrals and their Applications
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DOI: 10.1007/s11253-020-01793-y
Abstract: UDC 517.5 We establish some new extensions of Hermite\,--\,Hadamard inequality for fractional integrals and present several applications for the Beta function. read more here.
Keywords: inequalities fractional; hadamard inequalities; integrals applications; fractional integrals ... See more keywords
Variable order fractional integrals in variable generalized Hölder spaces of holomorphic functions
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DOI: 10.1007/s13324-021-00587-0
Abstract: We introduce and study the variable generalized Holder spaces of holomorphic functions over the unit disc in the complex plane. These spaces are defined either directly in terms of modulus of continuity or in terms… read more here.
Keywords: variable generalized; fractional integrals; holomorphic functions; spaces holomorphic ... See more keywords
Refinements of bullen-type inequalities for s–convex functions via Riemann-Liouville fractional integrals involving Gauss hypergeometric function
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DOI: 10.1080/09720502.2019.1698803
Abstract: Abstract In this paper, the author establishes a new identity for differentiable functions and obtain some new inequalities for differentiable functions based on s–convexity via Riemann-Liouville fractional integrals involving Gauss hypergeometric function. read more here.
Keywords: integrals involving; involving gauss; fractional integrals; liouville fractional ... See more keywords
Two weighted inequalities for fractional integrals on Laguerre hypergroup
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DOI: 10.1080/10652469.2016.1261339
Abstract: ABSTRACT Let be the Laguerre hypergroup which is the fundamental manifold of the radial function space for the Heisenberg group, its homogeneous norm and Q its homogeneous dimension. In this paper we prove the two… read more here.
Keywords: integrals laguerre; laguerre hypergroup; inequalities fractional; fractional integrals ... See more keywords
Conformable Fractional Integrals Versions of Hermite-Hadamard Inequalities and Their Generalizations
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DOI: 10.1155/2018/6928130
Abstract: We prove new Hermite-Hadamard inequalities for conformable fractional integrals by using convex function, s-convex, and coordinate convex functions. We prove new Montgomery identity and by using this identity we obtain generalized Hermite-Hadamard type inequalities. read more here.
Keywords: integrals versions; fractional integrals; versions hermite; conformable fractional ... See more keywords
Hadamard and Fejér–Hadamard Inequalities for Further Generalized Fractional Integrals Involving Mittag-Leffler Functions
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DOI: 10.1155/2021/5589405
Abstract: In this paper, generalized versions of Hadamard and Fejer–Hadamard type fractional integral inequalities are obtained. By using generalized fractional integrals containing Mittag-Leffler functions, some well-known results for convex and harmonically convex functions are generalized. The… read more here.
Keywords: fractional integrals; generalized fractional; hadamard; mittag leffler ... See more keywords
Some parameterized inequalities by means of fractional integrals with exponential kernels and their applications
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DOI: 10.1186/s13660-020-02430-9
Abstract: We use the definition of a new class of fractional integral operators, recently introduced by Ahmad et al. in [J. Comput. Appl. Math. 353:120–129, 2019 ], to establish a fractional-type integral identity with one parameter.… read more here.
Keywords: parameterized inequalities; fractional integrals; inequalities means; means fractional ... See more keywords