-convex functions and HA
On Quasi Convex Functions and Hadamard's Inequality
... In this paper we establish some inequalities of Hadamard’s type involving Godunova-Levin functions, P-functions, quasi-convex functions, J- quasi-convex functions, Wright-convex function[r] ...
12
Inequalities of Hermite-Hadamard Type for HA-Convex Functions
... [5] N. S. Barnett, P. Cerone, S. S. Dragomir, M. R. Pinheiro,and A. Sofo, Ostrowski type in- equalities for functions whose modulus of the derivatives are convex and applications. In- equality Theory and ...
19
Half convex functions
... The above binomial combination of a and b is convex if, and only if, the number x belongs to the interval [a, b]. Given the function f : R → R, let f {a,b} line : R → R be the function of the line passing through ...
10
A note on geometrically convex functions
... namely, convex analysis. Convex curves and convex bodies have appeared in mathematical literature since antiquity and there are many important results related to ...
12
On Hadamard and Fej\'{e}r-Hadamard inequalities for Caputo $\small{k}$-fractional derivatives
... define convex functions, Hadamard inequality for convex functions, Fej´ er–Hadamard inequality for convex functions, Caputo fractional derivatives and finally Caputo k–fractional ...
13
A note on generalized convex functions
... holds for all a, b ∈ I and λ ∈ (0, 1). Ψ is said to be concave if inequality (1.1) is reversed. It is well known that the convexity theory has wide applications in special functions [1–30], differential equations ...
10
Some Properties of h-MN-Convexity and Jensen’s Type Inequalities
... drugie vidy funkcii, Vyˇ cislitel. Mat. i. Mat. Fiz. Mevuzov. Sb. Nauc. Trudov, MGPI, Moskva, 1985, 138–142. [14] A. H´ azy, Bernstein-doetsch type results for h-convex functions, Math. Inequal. Appl., 14 ...
25
Convex functions
... First Set of criteria for convexity.. LISTGFHGURES Figure 1... To show that f is convex, we have to verify that the following inequality holds.. i displays a geometric interpTetatio[r] ...
30
Some integral inequalities of fractional quantum type
... Pac¸a, Hermite Hadamard-Fejer type inequalities for quasi convex functions via fractional integrals, Malaya J. Hussain, Generalization of integral inequalities of the type of Hermite- Ha[r] ...
7
Hadamard product of analytic functions and some special regions and curves
... of convex univalent functions is preserved under convolution, namely K ∗ K = ...starlike functions and the class of close-to-convex functions are closed under convolution with the class ...
13
On ε-optimality conditions for multiobjective fractional optimization problems
... objective functions with convex numerator functions, and convex denominator functions and finitely many convex constraint functions and a geometric constraint set, is ...
13
Subclasses of univalent functions subordinate to convex functions
... and SRIVASTAVA, H.M., Analytic solutions of a class of Briot-Bouquet differential equations, in Current Topics m Analyttc Function Theory H.M Srivastava and S Owa, Editors, 252-259, Worl[r] ...
5
A monotonic refinement of Levinson’s inequality
... Baloch et al. [] also proved the converse of the inequality, i.e., -convex functions at a point are the largest class of functions for which Levinson’s inequality holds under the equal variances ...
7
Quasi convex univalent functions
... In this paper, a new class of normalized univalent functions is intro-.. The properties of this class and its relationship with some other sub-.[r] ...
12
Subclasses of close to convex functions
... M., Subclasses of starlike functions subordinate to convex functions submitted..[r] ...
10
Analytic Functions Related with Mocanu Class
... uniformly convex functions by U ST and U CV, see ...uniformly convex if f maps every circular arc γ contained in ∆ with center ζ ∈ ∆ onto a convex ...
10
Certain convex harmonic functions
... 1. Introduction. A continuous complex-valued function f = u + iv defined in a simply connected complex domain Ᏸ ⊂ C is said to be harmonic in Ᏸ if both u and v are real harmonic in Ᏸ . Consider the functions U and ...
7
On Certain Classes of Convex Functions
... analytic functions which satisfy the following two sided-inequality: 𝛼 < R{1 + (𝑧𝑓 (𝑧)/𝑓 (𝑧))} < 𝛽 (𝑧 ∈ U), where U denotes the open unit ...involving functions in the class K(𝛼, ...for ...
7
Certain geometric properties of Mittag Leffler functions
... In this paper, some geometric properties of normalized Mittag-Leffler functions are investigated. We focus on starlikeness of order 2 μ + η – 1 and convexity in the direction of imaginary axis. In addition, we study ...
15
Spiral like integral operators
... and Mehrok, T.J.S.: On Univalence of certain analytic functions associated wih starlike, convex and close-to-convex functions, Indian J.. BERNARDI, S.D.: Convex and starlike univalent fu[r] ...
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