Coefficient estimates for some classes of p-valent functions
Let Ap, where p is a positive integer, denote the class of functions f(z)=zp+∑n=p+1anzn which are analytic in U={z:|z|
M. K. Aouf
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Hermite-Hadamard Type Inequalities via Exponentially (p, h)-Convex Functions
Here we introduce new class of exponentially convex function namely exponentially $(p,h)$ -convex function. We find the Hermite-Hadamard type inequalities via exponentially $(p,h)$ -convex functions. We extend the various familar results.
N. Mehreen, M. Anwar
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n–polynomial exponential type p–convex function with some related inequalities and their applications [PDF]
In this paper, the idea and its algebraic properties of n-polynomial exponential type p-convex function have been investigated. Authors prove new trapezium type inequality for this new class of functions. We also obtain some refinements of the trapezium type inequality for functions whose first derivative in absolute value at certain power are n ...
Saad Ihsan Butt +5 more
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Ostrowski type inequalities for $p$-convex functions
In this paper, we give a different version of theconcept of -convex functions and obtain some new properties of -convex functions. Moreover we establish some Ostrowski type inequalitiesfor the class of functions whose derivatives in absolute values at certainpowers are -convex.
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Hermite-Hadamard inequalities for differentiable p-convex functions using hypergeometric functions
We derive some new integral identities for differentiable functions. Then using these auxiliary results, we obtain new Hermite-Hadamard type inequalities for differentiable p-convex functions. Some special cases are also discussed.
Noor, Muhammad Aslam +3 more
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On HT-convexity and Hadamard-type inequalities
In the paper, the authors define a new notion of “HT-convex function”, present some Hadamard-type inequalities for the new class of HT-convex functions and for the product of any two HT-convex functions, and derive some inequalities for the arithmetic ...
Shu-Ping Bai, Shu-Hong Wang, Feng Qi
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HERMITE-HADAMARD TYPE INEQUALITIES FOR P-CONVEX FUNCTIONS VIA KATUGAMPOLA FRACTIONAL INTEGRALS [PDF]
In this paper, firstly the authors establish Hermite-Hadamard inequality for p-convex functions via Katugampola fractional integrals. Then a new identity involving Katugampola fractional integrals is proved. By using this identity, some new Hermite-Hadamard type inequalities for classes of p-convex functions are obtained.
Toplu, Tekin +3 more
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Some New Inequalities for p‐Convex Functions via a K‐Fractional Conformable Integral
The intention of this paper is to develop some new Hermite–Jensen–Mercer type inequalities for p−convex functions via k−fractional conformable integrals. Several existing results are also discussed which can be deduced from our results.
Yan Dou +3 more
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Clinical Validation of Plasma p‐217tau in Neurological Diseases
ABSTRACT Objective Plasma p‐217tau is a minimally invasive but specific biomarker for diagnosing Alzheimer's disease (AD). However, its disease specificity remains to be clinically evaluated. We validated the reliability of the p‐217tau biomarker in 12 other neurological diseases.
Takeshi Kawarabayashi +13 more
wiley +1 more source
Cauchy type means for some generalized convex functions
In this paper, we establish Jensen’s inequality for s-convex functions in the first sense. By using Jensen’s inequalities, we obtain some Cauchy type means for p-convex and s-convex functions in the first sense.
Naila Mehreen, Matloob Anwar
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