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[PDF] Top 20 New inequalities for operator convex functions

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New inequalities for operator convex functions

New inequalities for operator convex functions

... some inequalities. And then, if we integrate the multiplication inequalities, we get k ...These inequalities are defined on [, k  ), ( k  ,  k ), ...k inequalities yields   f (( – t)A ... See full document

12

Some Fejer Type Inequalities for Harmonically-Convex Functions with Applications to Special Means

Some Fejer Type Inequalities for Harmonically-Convex Functions with Applications to Special Means

... of functions is introduced. A new identity involving harmonically symmetric functions is established and some new Fej´ er type integral inequalities are presented for the class of ... See full document

14

SOME INEQUALITIES FOR B -1 -CONVEX FUNCTIONS VIA FRACTIONAL INTEGRAL OPERATOR

SOME INEQUALITIES FOR B -1 -CONVEX FUNCTIONS VIA FRACTIONAL INTEGRAL OPERATOR

... some new Hermite-Hadamard type inequalities for B −1 -convex functions involving Riemann-Liouville type integral operators that are more general from classic integral operators are ... See full document

6

New Integral Inequalities via Harmonically Convex Functions

New Integral Inequalities via Harmonically Convex Functions

... established new integral inequalities related to harmonically convex ...and new integral inequalities, see [1, 3, 4, 5, 6, 7, 11, 13, 15] and plenty of references ... See full document

7

Some new inequalities of Hermite-Hadamard type for GA-convex functions

Some new inequalities of Hermite-Hadamard type for GA-convex functions

... 2. Some refinements. In 1994, [5] (see also [17, p. 22]) we proved the following refinement of Hermite–Hadamard inequality. For the sake of com- pleteness we give here a direct proof that is different from the one in ... See full document

14

Minkowski’s inequality for the AB fractional integral operator

Minkowski’s inequality for the AB fractional integral operator

... classical inequalities by means of fractional-order integral operators is considered as an interesting subject ...Hadamard-type inequalities by using generalized ...integral operator to generalize ... See full document

12

Matrix operator inequalities based on Mond, Pecaric, Jensen and Ando's

Matrix operator inequalities based on Mond, Pecaric, Jensen and Ando's

... Operator inequalities play important roles in various mathematical and statistical con- ...study operator inequalities, there have been many research results, where useful references centered ... See full document

13

New inequalities of Hermite-Hadamard type for MN-convex functions

New inequalities of Hermite-Hadamard type for MN-convex functions

... In this paper we study several convexity, and deduce sharp integral inequalities similar to Hermite-Hadamard inequality.. First we need the following definitions.[r] ... See full document

14

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

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

... Theory of convex sets and convex functions play an important role in different fields of pure and applied sciences. In recent years, the concept of convexity has been extended and general- ized in ... See full document

11

New inequalities of hermite hadamard type for convex functions with applications

New inequalities of hermite hadamard type for convex functions with applications

... some new inequalities of the Hermite-Hadamard type for functions whose modulus of the derivatives are convex and applications for special means are ... See full document

11

On some new inequalities for differentiable co ordinated convex functions

On some new inequalities for differentiable co ordinated convex functions

... some new inequalities that give esti- mate of the difference between the middle and the rightmost terms in ...co-ordinated convex functions on rectangle from the plane ℝ 2 ...some new ... See full document

13

New integral inequalities for $s$-preinvex functions

New integral inequalities for $s$-preinvex functions

... In [6] Liu discussed the cases where certain power of the modulus of the function f is quasi- convex, and (α, m)-convex. Also he established in [7] the estimate of the left hand side of (1.1) in the case ... See full document

6

Inequalities for convex and s convex functions on Δ = [a, b] × [c, d]

Inequalities for convex and s convex functions on Δ = [a, b] × [c, d]

... The main purpose of this article is to establish inequalities of Hadamard-type for coordinated convex functions by using Lemma 1 and to establish some new Hadamardtype inequalities for c[r] ... See full document

19

Some Applications of Srivastava Attiya Operator to p Valent Starlike Functions

Some Applications of Srivastava Attiya Operator to p Valent Starlike Functions

... We introduce and study some new subclasses of p-valent starlike, convex, close-to-convex, and quasi-convex functions defined by certain Srivastava-Attiya operator.. Inclusion relations a[r] ... See full document

11

New Inequalities of Simpson's Type for s-Convex Functions with Applications

New Inequalities of Simpson's Type for s-Convex Functions with Applications

... In [8], Hudzik and Maligranda considered among others the class of functions which are s-convex in the second sense. This class is defined in the following way: a function f : R + → R , where R + = [0, ∞), ... See full document

18

New Inequalities of Hermite-Hadamard Type for Log-Convex Functions

New Inequalities of Hermite-Hadamard Type for Log-Convex Functions

... are convex and g is increasing, then g ◦ f is convex; moreover, since f = exp (log f ) , it follows that a log-convex function is convex, but the converse may not necessarily be ... See full document

18

Some Hermite-Hadamard type inequalities for operator convex functions and positive maps

Some Hermite-Hadamard type inequalities for operator convex functions and positive maps

... on operator Hermite-Hadamard type inequalities, see [1]-[2], [5]-[10] and ...the convex cone of all positive operators on H and by B ++ (H) the convex cone of all positive definite operators ... See full document

14

Weighted version of Hermite–Hadamard type inequalities for geometrically quasi convex functions and their applications

Weighted version of Hermite–Hadamard type inequalities for geometrically quasi convex functions and their applications

... on inequalities, including a large number of papers and many fruitful ...of new results have been studied in the ...specific inequalities provide a useful and essential gadget in the development of ... See full document

11

On some inequalities for s convex functions and applications

On some inequalities for s convex functions and applications

... Some new results related to the left-hand side of the Hermite-Hadamard type inequalities for the class of functions whose second derivatives at certain powers are s-convex functions in ... See full document

11

Hermite–Hadamard type inequalities for operator geometrically convex functions

Hermite–Hadamard type inequalities for operator geometrically convex functions

... of operator geometri- cally convex functions for positive linear operators and prove some Hermite- Hadamard type inequalities for these ...trace inequalities for operators which give ... See full document

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