scholarly journals ANGULAR ESTIMATES OF CERTAIN INTEGRAL OPERATORS

1998 ◽  
Vol 29 (4) ◽  
pp. 271-277
Author(s):  
NAK EUN CHO ◽  
IN HWA KIM
Keyword(s):  
Integral Operators ◽  
Special Cases

In the present paper, we investigate certain integral preserving properties in a sector. Our results include several previous results as the special cases.

scholarly journals Pathway fractional integral operators of generalized k-wright function and k4-function

2017 ◽  
Vol 35 (2) ◽  
pp. 235 ◽  
Author(s):  
Dinesh Kumar ◽  
Ram Kishore Saxena ◽  
Jitendra Daiya
Keyword(s):  
Fractional Integral ◽  
Fractional Integration ◽  
Integral Operators ◽  
Wright Function ◽  
Finite Product ◽  
Fractional Integral Operators ◽  
Integral Formulas ◽  
Fractional Integration Operator ◽  
Composition Formula ◽  
Special Cases

In the present work we introduce a composition formula of the pathway fractional integration operator with finite product of generalized K-Wright function and K4-function. The obtained results are in terms of generalized Wright function.Certain special cases of the main results given here are also considered to correspond with some known and new (presumably) pathway fractional integral formulas.

scholarly journals Subordination properties ofP-valent functions defined by integral operators

2006 ◽  
Vol 2006 ◽  
pp. 1-3 ◽  
Author(s):  
Saeid Shams ◽  
S. R. Kulkarni ◽  
Jay M. Jahangiri
Keyword(s):  
Integral Operators ◽  
Special Cases

By applying certain integral operators toP-valent functions we define a comprehensive family of analytic functins. The subordinations properties of this family is studied, which in certain special cases yield some of the previously obtained results.

scholarly journals On Fractional Integral Inequalities Involving Hypergeometric Operators

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
D. Baleanu ◽  
S. D. Purohit ◽  
Praveen Agarwal
Keyword(s):  
Hypergeometric Function ◽  
Fractional Integral ◽  
Integral Operators ◽  
Integral Inequalities ◽  
Gauss Hypergeometric Function ◽  
Liouville Type ◽  
Fractional Integral Operators ◽  
Special Cases ◽  
Chebyshev Functional

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 the concluding section. Further, we also consider their relevance with other related known results.

scholarly journals Convexity of Certainq-Integral Operators ofp-Valent Functions

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
K. A. Selvakumaran ◽  
S. D. Purohit ◽  
Aydin Secer ◽  
Mustafa Bayram
Keyword(s):  
Analytic Functions ◽  
Unit Disc ◽  
Integral Operators ◽  
Special Cases ◽  
Convexity Properties

By applying the concept (and theory) of fractionalq-calculus, we first define and introduce two newq-integral operators for certain analytic functions defined in the unit disc𝒰. Convexity properties of theseq-integral operators on some classes of analytic functions defined by a linear multiplier fractionalq-differintegral operator are studied. Special cases of the main results are also mentioned.

scholarly journals Different type parameterized inequalities via generalized integral operators with applications

2021 ◽  
Vol 66 (3) ◽  
pp. 423-440
Author(s):  
Artion Kashuri ◽  
Rozana Liko
Keyword(s):  
Integral Operator ◽  
Integral Operators ◽  
Integral Inequalities ◽  
Fractional Integrals ◽  
Recent Past ◽  
Special Means ◽  
Special Cases ◽  
Type Integral ◽  
Erentiable Function ◽  
Almost All

"The authors have proved an identity for a generalized integral operator via di erentiable function with parameters. By applying the established identity, the generalized trapezium, midpoint and Simpson type integral inequalities have been discovered. It is pointed out that the results of this research provide integral inequalities for almost all fractional integrals discovered in recent past decades. Various special cases have been identi ed. Some applications of presented results to special means and new error estimates for the trapezium and midpoint quadrature formula have been analyzed. The ideas and techniques of this paper may stimulate further research in the eld of integral inequalities."

scholarly journals Some new inequalities for generalized convex functions pertaining generalized fractional integral operators and their applications

2021 ◽  
Vol 17 (1) ◽  
pp. 37-64
Author(s):  
A. Kashuri ◽  
M.A. Ali ◽  
M. Abbas ◽  
M. Toseef
Keyword(s):  
Differentiable Function ◽  
Convex Functions ◽  
Fractional Integral ◽  
Integral Operators ◽  
Generalized Convex Functions ◽  
Fractional Integral Operators ◽  
Special Cases ◽  
Generalized Fractional Integral ◽  
Generalized Fractional Integral Operators ◽  
New Inequalities

Abstract In this paper, authors establish a new identity for a differentiable function using generic integral operators. By applying it, some new integral inequalities of trapezium, Ostrowski and Simpson type are obtained. Moreover, several special cases have been studied in detail. Finally, many useful applications have been found.

A generalized class of integral operators

2020 ◽  
Vol 36 (3) ◽  
pp. 423-431
Author(s):  
VIJAY GUPTA
Keyword(s):  
Large Class ◽  
Present Note ◽  
Integral Operators ◽  
Basis Functions ◽  
Unified Approach ◽  
Quantitative Estimates ◽  
Special Cases ◽  
Discrete Operators ◽  
Durrmeyer Type Operators ◽  
The Difference

We introduce in the present note a unified approach to define integral operators, which include many well-known operators viz. Durrmeyer type operators, mixed hybrid operators as special cases. We also obtain the quantitative estimates between the difference of such integral operators with the discrete operators having same and different basis functions. Our operators proposed here give a very large class of integral operators, which have been discussed and proposed by several researchers in past seven decades.

On Ostrowski type inequalities

2016 ◽  
Vol 56 (1) ◽  
pp. 5-27 ◽  
Author(s):  
Ravi P. Agarwal ◽  
Min-Jie Luo ◽  
R.K. Raina
Keyword(s):  
Hypergeometric Function ◽  
General Class ◽  
Fractional Integral ◽  
Integral Operators ◽  
Generalized Hypergeometric Function ◽  
Fractional Integral Operators ◽  
Special Cases

Abstract In this paper, new forms of Ostrowski type inequalities are established for a general class of fractional integral operators. The main results are used to derive Ostrowski type inequalities involving the familiar Riemann-Liouville fractional integral operators and other important integral operators. We further obtain similar types of inequalities for the integral operators whose kernels are the Fox-Wright generalized hypergeometric function. Several consequences and special cases of some of the results including applications to Stolarsky’s means are also pointed out.

scholarly journals Some Properties of Fractional Calculus and Linear Operators Associated with Certain Subclass of Multivalent Functions

2009 ◽  
Vol 2009 ◽  
pp. 1-16
Author(s):  
Sh. Khosravianarab ◽  
S. R. Kulkarni ◽  
O. P. Ahuja
Keyword(s):  
Fractional Calculus ◽  
Integral Operators ◽  
Linear Operators ◽  
New Approaches ◽  
Special Cases

We investigate several distortion inequalities involving fractional calculus, Ruscheweyh derivatives, and some well-known integral operators. In special cases, the results presented in this paper provide new approaches to several previously known results.

scholarly journals Integral inequalities involving generalized Erdélyi-Kober fractional integral operators

2016 ◽  
Vol 14 (1) ◽  
pp. 89-99 ◽  
Author(s):  
Dumitru Baleanu ◽  
Sunil Dutt Purohit ◽  
Jyotindra C. Prajapati
Keyword(s):  
Fractional Integral ◽  
Integral Operators ◽  
Integral Inequalities ◽  
Fractional Integrals ◽  
Weighted Version ◽  
Fractional Integral Operators ◽  
Special Cases ◽  
Chebyshev Functional

AbstractUsing the generalized Erdélyi-Kober fractional integrals, an attempt is made to establish certain new fractional integral inequalities, related to the weighted version of the Chebyshev functional. The results given earlier by Purohit and Raina (2013) and Dahmani et al. (2011) are special cases of results obtained in present paper.

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