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1
Content available remote On Opial-type inequality for a generalized fractional integral operator
Vivas-Cortez Miguel, Martínez Francisco, Valdes Juan E. Nápoles, Hernández Jorge E.
Demonstratio Mathematica
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2022
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Vol. 55, nr 1
695--709
EN
This article is aimed at establishing some results concerning integral inequalities of the Opial type in the fractional calculus scenario. Specifically, a generalized definition of a fractional integral operator is introduced from a new Raina-type special function, and with certain results proposed in previous publications and the choice of the parameters involved, the established results in the work are obtained. In addition, some criteria are established to obtain the aforementioned inequalities based on other integral operators. Finally, a more generalized definition is suggested, with which interesting results can be obtained in the field of fractional integral inequalities.
2
Content available remote A new iteration method for the solution of third-order BVP via Green's function
Akgun Fatma Aydın, Rasulov Zaur
Demonstratio Mathematica
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2021
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Vol. 54, nr 1
425--435
EN
In this study, a new iterative method for third-order boundary value problems based on embedding Green’s function is introduced. The existence and uniqueness theorems are established, and necessary conditions are derived for convergence. The accuracy, efficiency and applicability of the results are demonstrated by comparing with the exact results and existing methods. The results of this paper extend and generalize the corresponding results in the literature.
3
Content available remote New univalence criterions for special general integral operators
Ebadian A., Sokół J.
Journal of Mathematics and Applications
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2013
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Vol. 36
63--69
EN
In this work we consider some integral operators on the special subclasses of the set of analytic functions in the unit disc which are defined by the Hadamard product. Using the univalence criterions, we obtain new sucient conditions for these operators to be univalent in the open unit disk. We give some applications of the main results.
4
Content available remote A new class of analytic functions based on Ruscheweyh derivative
Sudharsan T. V., Thirumalaisamy R., Sivasubramanian S., Subramanian K. G.
Journal of Mathematics and Applications
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2010
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Vol. 33
103-115
EN
In this paper we introduce a new class [formula/wzór] consisting of analytic functions with negative coeffcients and investigate various properties and characterization of the class. The results include coeffcient estimates, distortion theorem, closure theorems and integral operators for the class [formula/wzór]. Also radii of close-to-convexity, starlikeness and convexity are determined.
5
Content available remote Differential superordinations defined by an integral operator
Balaeti C. M.
Journal of Mathematics and Applications
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2009
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Vol. 31
29-36
EN
By using the integral operator I(m) f, we introduce a class of holomorphic functions denoted by J(m)(α) and we obtain some superordinations results related to this class.
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