On the extrema of integrable functions by Slawomir Dorosiewicz

“…This paper contains the definition of the extremum of integrable functions (e.g., the mode of density function). …”
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Integrated cosine functions by Quan Zheng

Subjects: “…integrated cosine function…”
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Density-functional theory formulated in terms of functional integrals by Gérald Faussurier

“…In a previous study, the author formulated the density functional theory in terms of functional integrals. …”
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DEFINITE INTEGRAL OF LOGARITHMIC FUNCTIONS AND POWERS IN TERMS OF THE LERCH FUNCTION by Robert Reynolds, Allan Stauffer

“…We use the general method as given in [6] to derive this integral. We then give a number of examples that can be derived from the general integral in terms of well known functions.…”
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Integrating Machinery Safety Functions Into Functional Safety for Process Industry by Gregor Schmitt-Pauksztat, Dirk Hablawetz, Marco Knödler, Dominic de-Kerf, Christian Demski, Marc Risser, Ugo Dehner

“…From a Process Industry point of view, the integration of Machinery Safety Functions into Functional Safety for Process Safety has always been a challenge. …”
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The methodology of teaching of the integration techniques of the rational functions by using partial fraction decomposition method and integration of the trigonometric functions by D. D. Gadjiev

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Minimization of nonsmooth integral functionals by Nikolaos S. Papageorgiou, Apostolos S. Papageorgiou

“…In this paper we examine optimization problems involving multidimensional nonsmooth integral functionals defined on Sobolev spaces. We obtain necessary and sufficient conditions for optimality in convex, finite dimensional problems using techniques from convex analysis and in nonconvex, finite dimensional problems, using the subdifferential of Clarke. …”
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Fields of sets, set functions, set function integrals, and finite additivity by William D. L. Appling

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Expansion of a class of functions into an integral involving associated Legendre functions by Nanigopal Mandal, B. N. Mandal

Subjects: “…integral expansion of a function…”
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A note on Bessel function dual integral equation with weight function by B. N. Mandal

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APPROXIMATE INTEGRATION OF HIGHLY OSCILLATING FUNCTIONS by I. N. Melashko, D. A. Nifontova, V. V. Sorokin

Subjects: “…integrals…”
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Conceptual principles of formation and functioning of vertically integrated structures by V.A. Topilo, V.K. Danylko

“…The article is devoted to the study of the conceptual foundations of the creation and functioning of vertically integrated structures in the domestic economy. …”
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The myocardial function index (MFI): An integrated measure of cardiac function in AL-cardiomyopathy by Nadia Akhiyat, Vidhu Anand, Vinayak Kumar, Alexander Ryu, Raymond Gibbons, Barry A. Borlaug, Krishnaswamy Chandrasekaran, Omar Abou Ezzeddine, Nandan Anavekar

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General Integral Operator of Analytic Functions Involving Functions with Positive Real Part by B. A. Frasin

“…Let be the integral operator defined by where each of the functions and are, respectively, analytic functions and functions with positive real part defined in the open unit disk for all . …”
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Integral Majorization Theorem for Invex Functions by M. Adil Khan, Adem Kılıçman, N. Rehman

“…We obtain some general inequalities and establish integral inequalities of the majorization type for invex functions. …”
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Integral operators of certain univalent functions by O. P. Ahuja

“…The The class Rn(α) contains the starlike functions of order α for n≥0 and the convex functions of order α for n≥1. …”
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An integral involving the generalized zeta function by E. Elizalde, A. Romeo

“…A general value for ∫abdtlogΓ(t), for a, b positive reals, is derived in terms of the Hurwitz ζ function. That expression is checked for a previously known special integral, and the case where a is a positive integer and b is half an odd integer is considered. …”
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Multivalent Functions Related with an Integral Operator by Syed Ghoos Ali Shah, Saqib Hussain, Saima Noor, Maslina Darus, Ibrar Ahmad

“…In this present paper, we introduce and explore certain new classes of uniformly convex and starlike functions related to the Liu–Owa integral operator. …”
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Integral Criteria for Weighted Bloch Functions by A. El-Sayed Ahmed, M. A. Bakhit

“…Interesting motivation of this concerned paper is to construct some new analytic function classes of general ϖ-Besov-type spaces via integrals on concerned functions view points. …”
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Modular integration of a class of exponetial functions by A. A. Smirnov, V. V. Bondary, P. A. Sahnyuk

“…In a paper to inspect the problem of calculation of a modular integral from a class of exponential functions is considered. …”
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