[PDF] Top 20 A note on geometrically convex functions
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A note on geometrically convex functions
... It was first discovered by Hermite in in the Journal Mathesis (see []). Inequality (.) was nowhere mentioned in the mathematical literature until . Beckenbach, a leading expert on the theory of convex ... See full document
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Hermite–Hadamard type inequalities for operator geometrically convex functions
... Beckenbach, a leading expert on the history and the theory of convex func- tions, wrote that this inequality was proven by Hadamard in 1893 [1]. In 1974, Mitrinoviˇc found Hermites note in Mathesis [10]. ... See full document
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Compositions involving Schur geometrically convex functions
... Schur geometrically convex functions were proposed by Zhang [] in , and was investigated by Chu et ...also note that some authors use the term ‘Schur-multiplicative ...Schur ... See full document
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New general integral inequalities for quasi geometrically convex functions via fractional integrals
... quasi-geometrically convex functions, gives Hermite-Hadamard’s inequalities for GA-convex functions in fractional integral forms and defines a new identity for fractional ... See full document
15
Some New Hermite Hadamard Type Inequalities for Geometrically Convex Functions
... In order to prove next theorems, we need the following identity for differentiable functions. A consequence of the identities is that the author establishes some new inequalities connected with the inequalities ... See full document
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Weighted version of Hermite–Hadamard type inequalities for geometrically quasi convex functions and their applications
... The importance of the Hermite–Hadamard inequality is due to its role in different branches of modern mathematics such as numerical analysis, functional analysis, and mathematical analysis. It was first observed by Hermite ... See full document
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A Note on Implicit Functions in Locally Convex Spaces
... The notion of osculating operators has been considered from different points of view see 2, 3. In this note we reformulate the definition of osculating operators. Our setting is a locally convex topological ... See full document
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\((h m)\) convex functions and associated fractional Hadamard and Fejér–Hadamard inequalities via an extended generalized Mittag Leffler function
... of note that the presented results in particular contain a number of fractional integral inequalities for h-convex, m-convex, s-convex, convex and related functions (see Remark 1 ... See full document
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A Note on Subadditivity and Antisymmetricity Involving Generalized Convex Functions
... J.Sandor [1], [2], [3], [4] has studied the -convex function which he first defined in 1988. He also introduced and studied -invexity. In 2003 J. Sandor [5] introduced the notion of A- convexity. In this ... See full document
7
Generalization of certain subclasses of analytic functions
... S a is the class of starlike functions of order We note that AI0,1, a and that Aln,l, is the class of convex functions of order ,a K AI1,1 is the class of functions defined by Salagean [r] ... See full document
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New classes of A-I2 convergence double sequence spaces of fuzzy numbers defined by sequence of Orlicz functions
... and Rutitsky, Y.B.: Convex functions and Orlicz functions, Groningen, Netherlands ; 1961 [13] Savas E: A note on sequence of fuzzy numbers, Inf.. [15] Savas E : On some A-I convergent [r] ... See full document
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A note on convex functions
... a convex function. We also present some results for convex functions, strictly convex functions, and quasi-convex ...phrases. Convex functions, lower ... See full document
10
Generalized geometrically convex functions and inequalities
... generalized functions, called generalized geometrically convex ...generalized geometrically convex ...generalized geometrically convex ... See full document
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Integral Inequalities via Generalized Geometrically r-Convex Functions
... Inspired and motivated by the ongoing research in this field, we introduce a new class of generalized convex function, which is known as generalized geometrically r-convex function. We derive some ... See full document
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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 ... See full document
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Convex combinations, barycenters and convex functions
... In this section, we show the connection between the convex combinations and the convex functions. The basic form of Jensen’s inequality is obtained using the assumption of the equality of ... See full document
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The Fekete Szegö inequality for close to convex functions with respect to a certain starlike function dependent on a real parameter
... Such functions h, clearly univalent as close-to-convex, and domains h(D) are called convex in the positive (negative) direction of the real axis and are related to functions convex in ... See full document
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Starlike and Convex Properties for Hypergeometric Functions
... Silverman 7 gave necessary and sufficient conditions for zFa, b; c; z to be in T ∗ α and Cα, and also examined a linear operator acting on hypergeometric functions. For the other interesting developments for zFa, b; ... See full document
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Classes of convex functions
... Remark 4.3. The coefficient characterizations found in [9] also show that f of the form (4.1) is starlike f ∈ TUCD(0), is convex f ∈ TUCD(1), and is convex of order 1/2 f ∈ TUCD(2). A function f of the form ... See full document
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A class of analytic functions based on an extension of generalized Salagean operator
... of functions starlike of order α (0 ≤ α < 1) denoted by S ∗ (α ) and convex of order α(0 ≤ α < 1), denoted by ...investigated functions in the classes T ∗ (α ) = T ∩ S ∗ (α ) and C(α ) = T ∩ ... See full document
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