[PDF] Top 20 Fractional integral inequalities for continuous random variables
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Fractional integral inequalities for continuous random variables
... the integral inequalities play a fundamental role in the theory of differential equations and applied ...of fractional type inequalities is also of great ...several integral ... See full document
8
Some fractional proportional integral inequalities
... positive continuous functions on the interval [a, b] such that h is increasing and g is decreasing function on the interval [a, ...proportional fractional integral ... See full document
13
19. New Inequalities Using Fractional Q-Integrals Theory
... The integral inequalities play a fundamental role in the theory of differential ...the fractional q-integral inequalities is also of great ...positive continuous function f on [0, ... See full document
7
On a class of fractional q-Integral inequalities
... The study of the q-integral inequalities play a fundamental role in the theory of differential equations. We refer the reader to [3, 8, 9, 14] for further information and applications. To motivate our work, ... See full document
6
Multiple Fractional Response Variables with Continuous Endogenous Explanatory Variables
... In 1994, Michigan reformed its school funding system with Proposal A. One of its objectives was to lower the school districts spending gap. It changed Michigan’s school funding sources and imposed spending floors for ... See full document
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q Integral inequalities associated with some fractional q integral operators
... of fractional q-integral inequalities involving functions of inde- pendent variables has been an important research subject in mathematical analysis be- cause the inequality technique is also ... See full document
13
Random variable inequalities involving (k,s)-integration
... of continuous random ...new fractional integral results for the fractional moments of contin- uous random variables by correcting some results in ...new integral ... See full document
6
On some integral inequalities for generalized fractional integral
... a continuous derivative h 0 (x) on (a, ...right-sided fractional integrals of a function f with respect to another function h on [a, b] are defined by ... See full document
12
Continuous random variables
... The integrals in parts a and d of example 1 can be done using a graphics calculator. Finding the median m in part b can also be done on a graphics calculator. On a TI-83/84, with the function entered as Y1, we can use a ... See full document
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Some Improvements of Conformable Fractional Integral Inequalities
... R + ), r ∈ C 1 ( R + , R + ) and assume that r is non-decreasing with r(t) ≤ t for t ≥ 0. Let w(t, u) be a positive , continuous, monotonic, non-decreasing, sub-additive and sub-multiplicative function for u > ... See full document
5
Further results and applications on continuous random variables
... Riemann-Liouville fractional integration on random ...on continuous random variables to establish new identities on continuous random ... See full document
7
Some estimations on continuous random variables involving fractional calculus
... the integral inequalities play an important role in the theory of differential equations, probability theory and in applied ...the integral inequalities using fractional calculus is ... See full document
10
Integral inequalities via fractional quantum calculus
... of integral inequalities and fractional calculus and can be specialized to yield numerous interesting fractional integral inequalities including some known ...in ... See full document
15
On weighted inequalities for certain fractional integral operators
... (3.13) The result (3.13) on specializing the parameters in accordance with (3.5) yields the for- mula [7, equation (3.6), page 148] involving the multidimensional modified integral op- erator (1.4). Similarly, we ... See full document
7
Fractional Integral Inequalities of Gruss Type via Generalized Mittag-Leffler Function
... generalized fractional integral operator contains itself several known fractional integral operators for particular values of involved ...0, fractional integral ... See full document
11
Some integral inequalities of fractional quantum type
... on fractional inequalities is now vast, and fractional inequalities are important in studying the existence, uniqueness, and other properties of fractional differential ...studied ... See full document
7
Fractional Hermite–Hadamard inequalities for \((s,m)\) convex or s concave functions
... Both inequalities (1.4) hold in the reversed direction if f is s-concave in the second sense. In a recent paper, Eftekhari [5] defined the class of (s, m)-convex functions in the second sense as follows: A mapping ... See full document
11
Generalized fractional integral inequalities by means of quasiconvexity
... new inequalities of the Hermite– Hadamard kind for functions with second derivatives, involving generalized Riemann– Liouville fractional integrals introduced by Raina [10] and Agarwal et ... See full document
11
Maximal Inequalities for Dependent Random Variables and Applications
... In this paper, we give a sufficient condition under which 1.2 and 1.3 hold. Our results partially improve those of Hu et al. 1, 2. The technique used in our proof is the well- known method of subsequences. Note that the ... See full document
10
Some new integral inequalities using Hadamard fractional integral operator
... of fractional Hadamard calculus are given in Kilbas [14] and Samko et ...and integral as given in [2]. Definition 2.1. The Hadamard fractional integral of order α ∈ R + of function f (x), for ... See full document
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