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[PDF] Top 20 Fractional Quantum Integral Inequalities

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Fractional Quantum Integral Inequalities

Fractional Quantum Integral Inequalities

... Research Article Fractional Quantum Integral Inequalities Hasan Öğünmez and Umut Mutlu Özkan Department of Mathematics, Faculty of Science and Arts, Kocatepe University, 03200 Afyonk[r] ... See full document

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Some new integral inequalities using Hadamard fractional integral operator

Some new integral inequalities using Hadamard fractional integral operator

... Riemann-Liouville fractional derivative and integrals, which include two ...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 ... See full document

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14. On some Qi type inequalities using fractional q-integral

14. On some Qi type inequalities using fractional q-integral

... of inequalities, many attentions have been payed to the problem and many authors have extended the inequality to more general cases (see [1, 2, 3, 4, 9, 8, 11, ...some inequalities of F. Qi type by using a ... See full document

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Fractional Hermite–Hadamard inequalities for \((s,m)\) convex or s concave functions

Fractional Hermite–Hadamard inequalities for \((s,m)\) convex or s concave functions

... new fractional integral identity, which played a key role in proving our main ...type fractional integral in- equalities presented here, being very general, are pointed out to be specialized ... See full document

11

Some results on quantum Hahn integral inequalities

Some results on quantum Hahn integral inequalities

... Fractional differential equations attracted much attention in recent years due to their widespread application in many fields of science and engineering, such as fluid flow, sig- nal and image processing, fractals ... See full document

18

q Integral inequalities associated with some fractional q integral operators

q Integral inequalities associated with some fractional q integral operators

... Similarly, if we set η =  and replace β by –α in Theorem  (and ζ =  and replace δ by –γ in addition in Theorem ), using (.), inequalities (.) and (.) gives the follow- ing results involving q-analogues ... See full document

13

Some inequalities via fractional conformable integral operators

Some inequalities via fractional conformable integral operators

... new inequalities of the Grüss type and certain Chebyshev-type inequalities for conformable fractional ...conformable integral inequalities, Minkowski and Chebyshev type integral ... See full document

8

Some Quantum Estimates of Hermite-Hadamard Inequalities for Convex Functions

Some Quantum Estimates of Hermite-Hadamard Inequalities for Convex Functions

... functions, quantum mechanics and mathematical ...new quantum integral identity and then develop some quantum estimates of Hermite-Hadamard type inequal- ities for convex ... See full document

17

Fractional Integral Inequalities of Gruss Type via Generalized Mittag-Leffler Function

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 for Local Fractional Integrals

Some Integral Inequalities for Local Fractional Integrals

... Agarwal, Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula, Appl.. Pearce, Selected Topics on Hermite-Hadamard Ine[r] ... See full document

11

Integral inequalities via fractional quantum calculus

Integral inequalities via fractional quantum calculus

... The quantum calculus is known as the calculus without ...functions. Quantum difference operators have an interesting role due to their applications in several mathematical areas, such as orthogonal ... See full document

15

Some Improvements of Conformable Fractional Integral Inequalities

Some Improvements of Conformable Fractional Integral Inequalities

... and integral equations, it is becoming extremely difficult to ignore the existence of integral inequalities which help to determine of bounds on unknown ... See full document

5

Fractional integral inequalities for continuous random variables

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

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Some Integral Inequalities Using Quantum Calculus Approach

Some Integral Inequalities Using Quantum Calculus Approach

... Hanson [9] introduced the notion of invex functions while studying mathematical programming. Ben Israel and Mond introduced the class of the invex sets and then using invex sets as domain they defined the notion of ... See full document

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ON NEW CONFORMABLE FRACTIONAL INTEGRAL INEQUALITIES FOR PRODUCT OF DIFFERENT KINDS OF CONVEXITY

ON NEW CONFORMABLE FRACTIONAL INTEGRAL INEQUALITIES FOR PRODUCT OF DIFFERENT KINDS OF CONVEXITY

... The fractional integral in (3) coincides with the Riemann-Liouville fractional integral (1) when a = 0 and α = ...Hadamard fractional integral [9] once a = 0 and α → 0 with the ... See full document

9

Fractional Hermite Hadamard inequalities for (α,m) logarithmically convex functions

Fractional Hermite Hadamard inequalities for (α,m) logarithmically convex functions

... fundamental fractional integral identities, we derive two classes of new Hermite-Hadamard type inequalities involving Riemann-Liouville fractional integrals for once and twice differentiable ( ... See full document

11

New generalized Hermite Hadamard type inequalities and applications to special means

New generalized Hermite Hadamard type inequalities and applications to special means

... However, other interesting left-type Hadamard fractional integral identities including the first-order derivative of f have not been reported. Thus, the first purpose of this pa- per is to find some possible ... See full document

15

Boundedness and compactness of a class of Hardy type operators

Boundedness and compactness of a class of Hardy type operators

... We establish characterizations of both boundedness and of compactness of a general class of fractional integral operators involving the Riemann-Liouville, Hadamard, and Erdelyi-Kober operators. In ... See full document

18

On new inequalities of Simpson's type for generalized quasi convex functions

On new inequalities of Simpson's type for generalized quasi convex functions

... Budak and S.Erden, On new inequalities of Simpson’s type for generalized convex func- tions , RGMIA Res. Budak, Some integral inequalities for local fractional integrals , RGMIA Res[r] ... See full document

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INEQUALITIES GENERATED WITH RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATOR

INEQUALITIES GENERATED WITH RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATOR

... type inequalities with the help of Riemann-Liouville fractional integral ...new fractional integral identity is ...some inequalities for the class of functions whose derivatives ... See full document

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