[PDF] Top 20 Some New Integral Relation of I- Function
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Some New Integral Relation of I- Function
... [1]. Agarwal, P. . On a unified integral involving the product of Srivastava's polynomials and generalized Mellin-Barnes type of contour integral. Advances in Mechanical Engineering and its Applications ... See full document
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On the (p,h) convex function and some integral inequalities
... give new definitions and properties of the (p, h)-convex ...on I and J, respectively, and the set I is p-convex when f ∈ ghx(p, h, I) or f ∈ ghv(p, h, ...the new class of convex ... See full document
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On general Eulerian integral of certain products of multivariable A-function, the multivariable I-function and a class of polynomials
... a new Eulerian integral of most general characters associated with the products of two multivariable I-functions defined by Nambisan et al [3], the A-function of several variables defined by ... See full document
14
Eulerian integral associated with product of two multivariable I-functions, generalized Lauricella function and a class of polynomials and expansion of multivariable I-function II
... a new Eulerian integral associated with the product of two multivariable I-functions defined by Nambisan et al [2] a generalized Lauricella function , a class of multivariable polynomials and ... See full document
14
On Horn Matrix Function H2(A,A′,B,B′;C;z,w) of Two Complex Variables under Differential Operator
... The results are established in this study to express a clear idea that the use of operational techniques provides a simple and straightforward method to get new relations for Horn matrix functions. Therefore, ... See full document
15
Infinite integral involving the spheroidal function, a class of polynomials and multivariable I-functions I
... spheroidal function involved in the integrand in its expression form with the help of ...the I-function of r variables in series with the help of equation ...the I-function of s ... See full document
9
Finite integral involving the spheroidal function, a class of polynomials multivariable I-functions and Fresnel integral
... spheroidal function in serie with the help of equation (1.27), the I-function of r variables in series with the help of equation ...the I-function of s variables in Mellin-Barnes ... See full document
9
Some new generalizations of Hardy's integral inequality
... In this section, we have generalized the results of [3]. We use the generalized form of Holder’s inequality with p(x), q(x), r(x) > 1. The normalization 1/ p(x) + 1/q(x) = 1 in Holder’s inequality is replaced by ... See full document
15
Some new integral inequalities using Hadamard fractional integral operator
... Hadamard integral has the form of ln( x t ) instead of the form of (x − t), which is involves both in the Riemann-Liouville and Caputo ...invariant relation to dilation [15, ... See full document
8
Hermite Hadamard type inequalities for n times differentiable and preinvex functions
... Abstract In the paper, by creating an integral identity involving an n-times differentiable function, the authors establish some new Hermite-Hadamard type inequalities for preinvex functi[r] ... See full document
9
Explicit bounds of unknown function of some new weakly singular retarded integral inequalities for discontinuous functions and their applications
... and integral equations, by estimating the unknown function in the integral in- equality of the discontinuous functions, Some properties of the solution of some impulsive differential ... See full document
20
The relation between the derivative of the function and the integral of the inverse function to the derivative function
... Finding the antiderivative is a inverse process of differentiation and it represents the main connection between the differen differentiation and integration for example: dx^2/dx = 2x bu[r] ... See full document
7
Integral inequalities of Hermite Hadamard type for functions whose derivatives are α preinvex
... a new notion, ‘ α -preinvex function’, establish an integral identity for the newly introduced function, and find some Hermite-Hadamard type integral inequalities for a ... See full document
10
Fractional Integral Inequalities of Gruss Type via Generalized Mittag-Leffler Function
... fractional integral operator containing the generalized Mittag-Leffler function to establish some new integral inequalities of Gr¨ uss ...fractional integral inequalities have ... See full document
11
Some new results using Hadamard fractional integral
... From above definitions, we see the difference between Hadamard and Riemann-liouville fractional integrals as Kernel in the Hadamard integral has the from of ln( x t ) instead of the form of (x − t), which is ... See full document
7
On general Eulerian integral of certain products of A-function, the multivariable I-function and a class of polynomials
... Eulerian integral concerning the product of the multivariable A-function defined by Gautam et al [1], the multivariable I-function defined by Nambisan et al [2], a generalized hypergeometric ... See full document
12
On new generalizations of Hardy's integral inequalities
... ON NEW GENERALIZATIONS OF HARDY’S INTEGRAL INEQUALITIES LÜ ZHONGXUE and XIE HONGZHENG Received 1 November 2001.. We give some new generalizations of Hardy’s integral inequalities.[r] ... See full document
6
A new more accurate half discrete Hilbert type inequality
... At present, the research into half-discrete Hilbert-type inequalities is a new direction and has gradually heated up. We find a few results on the half-discrete Hilbert-type in- equalities with the non-homogeneous ... See full document
13
Eulerian integral associated with product of two multivariable I-functions, generalized Lauricella function and a class of polynomials and expansion of multivariable I-function I
... multivariable I-function defined by Nambisan et al [2] with the help of ...the I- functions of r-variables and s-variables defined by Nambisan et al [2] in terms of Mellin-Barnes type contour ... See full document
12
On general Eulerian integral of certain products of I-functions and multivariable A-function
... the I-function of s-variables and u- variables defined by Prasad [2] by the Mellin-Barnes contour integral with the help of the equation ...hypergeometric function in Mellin-Barnes contour ... See full document
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