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On a new class of convex functions and integral inequalities

On a new class of convex functions and integral inequalities

... of convex sets and convex functions have been gen- eralized in different ...of inequalities. Many famous inequalities can be obtained using the concept of convex ...these ... See full document

14

Integral Inequalities via Generalized Geometrically r-Convex Functions

Integral Inequalities via Generalized Geometrically r-Convex Functions

... a new class of generalized convex functions, called generalized geometrically r-convex ...Some new Hermite-Hadamard integral inequalities via gener- alized ... See full document

14

New conformable fractional integral inequalities of Hermite-Hadamard type for convex functions

New conformable fractional integral inequalities of Hermite-Hadamard type for convex functions

... established new conformable fractional integral inequalities of Hermite–Hadamard type for convex functions using ...some new inequalities of Hermite–Hadamard type for ... See full document

12

Integral Inequalities of Hermite Hadamard Type for r Convex Functions

Integral Inequalities of Hermite Hadamard Type for r Convex Functions

... three new Hermite-Ha- damard type integral inequalities for -convex functions, which improved the results of Theorems ...der’s integral inequality, Stolarsky mean and convexity ... See full document

5

Generalized Beta-Convex Functions and Integral Inequalities

Generalized Beta-Convex Functions and Integral Inequalities

... a convex function, if and if only, if satisfies an integral ...of integral inequalities are known as Hermite-Hadanard, Simpson, Trapeziodal and ...The integral inequalities are ... See full document

13

Generalized r-Convex Functions and Integral Inequalities

Generalized r-Convex Functions and Integral Inequalities

... other class of convex functions, which is called generalized convex( ϕ-convex ) ...generalized convex functions are nonconvex ...a new class of generalized ... See full document

12

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

Generalization of Integral Inequalities for Product of Convex Functions

Generalization of Integral Inequalities for Product of Convex Functions

... namely, convex analysis. A largely applied inequality for convex functions, due to its geometrical significance, is the Hermite-Hadamard’s inequality which has generated a wide range of directions ... See full document

6

New general integral inequalities for quasi geometrically convex functions via fractional integrals

New general integral inequalities for quasi geometrically convex functions via fractional integrals

... quasi-geometrically convex function is introduced, Hermite-Hadamard’s inequalities for GA-convex functions in fractional integral forms are established, and a new identity for ... See full document

15

Integral inequalities for some convex functions via generalized fractional integrals

Integral inequalities for some convex functions via generalized fractional integrals

... Since the Hermite–Hadamard inequality has many applications, many authors gener- alized this inequality. The Hermite–Hadamard inequality is also established for several kinds of convex functions. For more ... See full document

14

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 ... See full document

14

New inequalities for generalized m-convex functions via generalized fractional integral operators and their applications

New inequalities for generalized m-convex functions via generalized fractional integral operators and their applications

... generalized integral inequalities for generalized m-convex functions with respect to another ...and new error bounds for midpoint and trapezium quadrature formula are ... See full document

25

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

... type inequalities involving various fractional in- tegral operators for products of two functions have, recently, been ...type inequalities for products of two convex and s− convex ... See full document

9

Generalized Steffensen’s inequality by Montgomery identity

Generalized Steffensen’s inequality by Montgomery identity

... Mathematical inequalities are also being used in other branches of science, for example, contributions in physics and chemistry can be seen in [9] and [10], ...respectively. Integral inequalities ... See full document

23

\((h m)\) convex functions and associated fractional Hadamard and Fejér–Hadamard inequalities via an extended generalized Mittag Leffler function

\((h m)\) convex functions and associated fractional Hadamard and Fejér–Hadamard inequalities via an extended generalized Mittag Leffler function

... fractional integral inequalities via (h – ...fractional integral inequalities for h-convex, m-convex, s-convex, convex and related functions (see Remark 1 ... See full document

10

Fractional Exponentially m-Convex Functions and Inequalities

Fractional Exponentially m-Convex Functions and Inequalities

... a new class of exponentially convex functions involving the parameter ...several new Hermite-Hadamard inequalities via Riemann-Liouville frac- tional ...the class of ... See full document

15

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

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

... Integral inequalities are very significant subjects in inequality theory and ...to integral mean value for a convex ...-convex functions was studied in ...-convex ... See full document

6

Finite gain \(\mathcal{L {\infty}}\) stability from disturbance to output of a class of time delay system

Finite gain \(\mathcal{L {\infty}}\) stability from disturbance to output of a class of time delay system

... a new class of integral inequalities for quadratic functions in [] via inter- mediate terms called auxiliary functions are introduced to develop the criteria of finite- gain L ∞ ... See full document

18

Refinements of Fejér's Inequality for Convex Functions

Refinements of Fejér's Inequality for Convex Functions

... Weighted Integral Inequalities for Convex Functions Related to Fejér’s Result (Submitted) Preprint RGMIA ...Some Inequalities of Hadamard’s Type ... See full document

11

Generalized Integral inequalities for Hermite-Hadamard type via s-convexity on fractal sets

Generalized Integral inequalities for Hermite-Hadamard type via s-convexity on fractal sets

... two inequalities, which are the refinement to the convexity, can be held in reverse or- der as ...of convex functions using Hermite-Hadamard inequalities have been continuously studied [3, 5, ... See full document

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