Results 1 to 10 of about 63,659 (264)
Association of Jensen’s inequality for s-convex function with Csiszár divergence [PDF]
Journal of Inequalities and Applications, 2019 In the article, we establish an inequality for Csiszár divergence associated with s-convex functions, present several inequalities for Kullback–Leibler, Renyi, Hellinger, Chi-square, Jeffery’s, and variational distance divergences by using particular s ...
Muhammad Adil Khan +4 more
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ON INEQUALITIES OF HERMITE – HADAMARD TYPE INVOLVING AN s-CONVEX FUNCTION WITH APPLICATIONS
Проблемы анализа, 2016 Motivated by a recent paper, the author provides some new integral inequalities of Hermite–Hadamard type involving the product of an s-convex function and a symmetric function and applies these new established inequalities to construct inequalities for ...
Liu Zheng
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Axioms, 2023 Research in this paper aims to explore the concept of generalized exponentially (s,m)-convex functions, and to determine some properties of these functions.
Wedad Saleh, Adem Kılıçman
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Axioms, 2023 The aim of this work is to elaborate and define the idea of refined convex function of the Raina type. In addition, we have attained some associated properties in the manner of the newly introduced idea.
Muhammad Tariq +2 more
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GENERALIZED ORLICZ SEQUENCE SPACES
Barekeng, 2023 Orlicz spaces were first introduced by Z. W. Birnbaum and W. Orlicz as an extension of Labesgue space in 1931. There are two types of Orlicz spaces, namely continuous Orlicz spaces and Orlicz sequence spaces.
Cece Kustiawan +5 more
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On some inequalities for s-convex functions and applications [PDF]
Journal of Inequalities and Applications, 2013 Abstract Some new results related to the left-hand side of the Hermite-Hadamard type inequalities for the class of functions whose second derivatives at certain powers are s-convex functions in the second sense are obtained. Also, some applications to special means of real numbers are provided. MSC:26A51, 26D15.
Ozdemir, Muhamet Emin +6 more
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On new general integral inequalities for s-convex functions [PDF]
Applied Mathematics and Computation, 2014 In this paper, the authors establish some new estimates for the remainder term of the midpoint, trapezoid, and Simpson formula using functions whose derivatives in absolute value at certain power are s-convex. Some applications to special means of real numbers are provided as well.
Imdat Iscan, Erhan Set, M. Emin Özdemir
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On new general inequalities for s-convex functions and their applications
Journal of Inequalities and Applications, 2023 AbstractIn this work, we established some new general integral inequalities of Hermite–Hadamard type for s-convex functions. To obtain these inequalities, we used the Hölder inequality, power-mean integral inequality, and some generalizations associated with these inequalities. Also we compared some inequalities (e.g., Theorem 6 and Theorem 8). Finally,
YILDIZ, Çetin +2 more
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Monotonicity of Orlicz Function Space-equipped with S-norm
Journal of Harbin University of Science and Technology, 2021 Monotonicity is important to Banach space geometry. In this paper，the monotonicity of Orlicz spaces equipped with the s-norm are dicussed. First，we gave some basic properties of the spaces.
WANG Jun-ming, TONG Qiu-yi
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The Ostrowski inequality for $ s $-convex functions in the third sense
AIMS Mathematics, 2022 <abstract><p>In this paper, the Ostrowski inequality for $ s $-convex functions in the third sense is studied. By applying Hölder and power mean integral inequalities, the Ostrowski inequality is obtained for the functions, the absolute values of the powers of whose derivatives are $ s $-convex in the third sense.
Gültekin Tınaztepe +3 more
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