Fractional Integral Operator
Applications of Multivalent Functions Associated with Generalized Fractional Integral Operator
... Recently, by using the general theory of differential subordination, several authors (see, e.g. [7-9]) considered some interesting properties of multivalent functions as- sociated with various integral operators. ...
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Minkowski’s inequality for the AB fractional integral operator
... AB-fractional integral operator for generalization of classical Minkowski ...of fractional integrals, for example, Riemann– Liouville, Hadamard, Liouville, Weyl, Erdelyi–Kober, and Katugampola ...
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Fractional integral operator on modulation and Wiener amalgam spaces
... the fractional in- tegral operator on weighted modulation ...bilinear fractional integral operator on product Wiener amalgam ...
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Weighted estimates of higher order commutators generated by BMO functions and the fractional integral operator on Morrey spaces
... The aim of this paper is to investigate the weighted inequalities of commutators generated by BMO-functions and the fractional integral operator on Morrey spaces. The main re- sults particularly is ...
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Some new integral inequalities using Hadamard fractional integral operator
... Caputo fractional integrals; see [3, 6, 7, 8, 9, 12, 13] and the references ...established fractional integral inequality using Riemann-Liouville fractional integration; for more details, see ...
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Fractional integral operator for $L^1$ vector fields and its applications
... studies fractional integral operator for vector fields in weighted L 1 ...on fractional integral operator and Stein-Weiss inequalities, we can give a new proof for a class of ...
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INEQUALITIES GENERATED WITH RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATOR
... Abstract. The primary objective of this study is to handle new generalized midpoint, trapezoid and Simpson’s type inequalities with the help of Riemann-Liouville fractional integral operator. In ...
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Certain Grüss type inequalities involving the generalized fractional integral operator
... type fractional integral inequalities involving the special function have been investigated by many ...Saigo fractional integral ...type fractional integral inequalities ...
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Pathway Fractional Integral Operator and Its Composition with Gimel Functions
... in Pathway fractional integral operator (1.1). Express multivariable Gimel-function and generalized polynomial with the help of the equations (1.2) and (1.3) respectively. Further, express in the ...
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SOME INEQUALITIES FOR B -1 -CONVEX FUNCTIONS VIA FRACTIONAL INTEGRAL OPERATOR
... Abstract. In this paper, B −1 -convexity which is an abstract convexity type is studied. In addition, some new Hermite-Hadamard type inequalities for B −1 -convex functions involving Riemann-Liouville type ...
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ON THE BOUNDEDNESS OF DUNKL-TYPE FRACTIONAL INTEGRAL OPERATOR IN THE GENERALIZED DUNKL-TYPE MORREY SPACES
... [16] V.S. Guliyev and J.J. Hasanov, Necessary and sufficient conditions for the boundedness of Riesz potential associated with the Laplace-Bessel differen- tial operator in Morrey spaces, J. Math. Anal. Appl., 347 ...
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Boundedness of homogeneous fractional integral operator on Morrey space
... maximal operator, the fractional integral op- erator, and the Calderón-Zygmund singular integral operator on Morrey space can be found in ...
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Fractional Integral Inequalities of Gruss Type via Generalized Mittag-Leffler Function
... generalized fractional integral operator containing the generalized Mittag-Leffler function to establish some new integral inequalities of Gr¨ uss ...of fractional integral ...
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A fractional Fourier integral operator and its extension to classes of function spaces
... the fractional Fourier integral operator into appropriately defined spaces of Boehmians and define an isomorphism between the different spaces of ...the fractional integral operator ...
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Meda Inequality for Rearrangements of the Convolution on the Heisenberg Group and Some Applications
... With the help of this inequality, we obtain some sufficient and necessary conditions for the boundedness of the fractional maximal operator MΩ,α and fractional integral operator IΩ,α with [r] ...
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Generalizations of some fractional integral inequalities via generalized Mittag Leffler function
... In Section , we give the generalizations of the Hermite-Hadamard type inequalities via generalized fractional integrals. Also we prove a version of the Hadamard inequality for convex functions via a generalized ...
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Fractional Calculus Results Based On Extended Gauss Hypergeometric Functions and Via Pathway Model
... pathway fractional integral. We have studied the fractional composition of the pathway fractional integral operator with a product extended generalized hypergeometric ...
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Continuity for some multilinear operators of integral operators on Triebel Lizorkin spaces
... the fractional integral operator; in [10, 11], these results on the Triebel-Lizorkin spaces and the case b ∈ Lip β (where Lip β is the homogeneous Lipschitz space) are ...certain fractional ...
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Some new Hardy type inequalities for Riemann Liouville fractional q integral operator
... Riemann-Liouville fractional integral operator of order n ∈ N and to find necessary and sufficient conditions of the validity of these inequalities for all non-negative real functions (see Theorems ...
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Two weight norm inequalities for the rough fractional integrals
... The authors give the weighted Lp , Lq -boundedness of the rough fractional integral operator TΩ,α and the fractional maximal operator MΩ,α with two different weight functions.. 2000 Mathe[r] ...
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