Results 61 to 70 of about 27,923,310 (175)
Journal of Function Spaces, 2021 Due to applications in almost every area of mathematics, the theory of convex and nonconvex functions becomes a hot area of research for many mathematicians.
Dong Zhang +4 more
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Some Ostrowski type inequalities for p-convex functions via generalized fractional integrals [PDF]
Journal of Mathematical Inequalities, 2019 Summary: In this paper, some new Ostrowski type inequalities for generalized fractional integrals are obtained. An identity via generalized fractional integrals and differentiable mappings, together with a new concept are used.
Thatsatian, Arisa +2 more
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On p-Valently Meromorphic-Strongly Starlike and Convex Functions
International Journal of Analysis and Applications, 2016 In this paper, we obtain sufficient conditions for analytic function $f(z)$ in the punctured unit disk to be $p$-valently meromorphic-strongly starlike and $p$-valently meromorphic-strongly convex of order $\beta$ and type $\alpha$.
Rahim Kargar, Ali Ebadian, Janusz Sokol
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Left-sided Hermite-Hadamard Type Inequalities for Trigonometrically P-Functions
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020 In this paper, we obtain refinements of the left-sided Hermite-Hadamard inequality for functions whose first derivatives in absolute value are trigonometrically P-function.
Kerim Bekar
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On some new inequalities of Hermite Hadamard types for hyperbolic p-convex functions
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2019 Summary: In this paper, we show that the power function \(f^n(x)\) is hyperbolic \(p\)-convex function. Furthermore, we establish some new integral inequalities for higher powers of hyperbolic \(p\)-convex functions. Also, some applications for special means are provided as well.
Yehia, Zeinab +2 more
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Strong summability defined by p-convex modulus functions and Knutter's theorem
Acta et Commentationes Universitatis Tartuensis de Mathematica, 2003 The purpose of this paper is to extend Thorpe's generalization of Knutter's theorem (cf. Theorem K) to strong summability with respect to a p-convex modulus function.
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Some Companions of Fejér's Inequality for Convex Functions [PDF]
, 2009 In this paper, we establish some companions of Fejér’s inequality for convex functions which generalize the inequalities of Hermite-Hadamard type from 'Two mappings in connection to Hadamard’s inequalities' (Dragomir, 1992) and 'On some refinements of
Hwang, Shiow-Ru +2 more
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Generalised Local Fractional Hermite-Hadamard Type Inequalities on Fractal Sets
Pan-American Journal of MathematicsFractal geometry and analysis constitute a growing field, with numerous applications, based on the principles of fractional calculus. Fractals sets are highly effective in improving convex inequalities and their generalisations.
Peter Olamide Olanipekun
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n-fractional polynomial p-convex functions and related inequalities
FilomatIn this paper, we introduce a new class of convex functions called n-fractional polynomial p-convex functions. We discuss some properties and present Hermite-Hadamard type inequalities for this generalization. Also when p =-1, our results establish a new definition and Hermite-Hadamard inequalities for n-fractional polynomial harmonically convex ...
Erhan Set, İşcan İmdat, Alan Aykan
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New Refinements of Hadamard Integral Inequality via k-Fractional Integrals for P- Convex Function
Turkish Journal of Science, 2021 In this study, we use k-fractional integrals to establish some new integral inequalities for p- convex function. These integral inequalities includes some new estimations for Hadamard inequality via k-fractional integrals.
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